複素解析6

8/30
リーマンが創った数学ーー生誕２００年に
奈良女子大
8/31
岡先生・山口先生の数学とその後
京大理学部数学教室
9/01,02
函数論分科会

ふぅ

9/02の午後は特別講演がある

竹内端三の本の演習問題の解答の本2冊を持っている。貴重？

>>4
つい最近解析学賞を受賞した須川敏幸さんがHPで絶賛されている
https://sugawa.cajpn.org/adv.html

>>4
>>9
その本ですが、同じ著者の函数論上下と何が違うのかがよく分かりません。
複素函数論も函数論上下もどちらも持っていますが、ちょっと見た感じだと同じ本に見えます。

>>10
私も同じような疑問を持っていた。

>>10
著作権の問題が複雑に絡んでるようだ

『複素函数論』辻 正次 著、槇書店、1968年刊の著作権について

この一行を全部コピペしてgoogle検索すると
有志が2021年02月15日付けのブログで詳しく解説してくれている
回りくどくなったのはここにリンクを貼るとエラーで弾かれるので

A holomorphic (2, 2)-Theorem for Abelian varieties of CM-type
Fritz Hörmann

「名誉教授」のガス抜きスレ

A logarithmic Bogomolov--Sommese vanishing theorem on compact Kähler manifolds
Zhi Li, Xiankui Meng, Kai Pang, Chenghao Qing, Xiangyu Zhou

Quasiconformal folding - a review of `Models for the Eremenko-Lyubich class'

年を取ると
ガスがたまりやすくなる

The conformally invariant metric on CLE4 II: existence of geodesics
Emmanuel Kammerer, Konstantinos Kavvadias, Jason Miller, Yi Tian

Projective embedding of degenerating family of Kähler-Einstein manifolds with normal crossing limit
Jingzhou Sun

あほらし

明日大雨警報が出たら
函数論シンポジウムは
ズーム配信になる

urlが来ないので早稲田に行かねば

arXiv:2609.05154 (cross-list from math.AG) [pdf, html, other]
A flatness criterion for pseudo-effective sheaves on compact Kähler spaces
Junyan Cao, Ya Deng, Shin-ichi Matsumura

Infinite chains of perfect fits for expanding Thurston maps
Ino Loukidou

Proof of the generalized Chui conjecture
Egor Bezrukov

Norm of the generalized Hilbert operator on weighted Bergman spaces
Dongxing Li, Songxiao Li, Weiye Pan, Hasi Wulan, Mengmeng Zhou

Anthropic、未公開Claudeが「リーマン予想」に挑戦　証明は失敗も関連問題で41.6％→67.2％、「自分を信じて」と人間が励ます
ledge.ai/articles/anthropic_claude_riemann_hypothesis

Non-Kähler Critical Hermitian Metrics of the Dinew--Popovici Functional
Hanwen Liu

Stein neighborhood bases for complex--totally real unions
Ovidiu Preda

The First Correction Term in the Asymptotic Expansion of Bohr--Sommerfeld Lagrangian States
Yusaku Tiba

The First Correction Term in the Asymptotic Expansion of Bohr--Sommerfeld Lagrangian States
Yusaku Tiba

The two-dimensional Matkowski--Sutô equation with holomorphic and strictly increasing generators
Kazuki Okamura

Holomorphic realizations of pairs of foliations on Riemann surfaces
Nathaniel Sagman, Dragomir Saric

On the pluricomplex Poisson kernel and the associated complex Monge--Ampère equation
Xieping Wang

An m-Hessian approach to Yau uniformization conjecture
Truong Dinh Dat

Chern-Ricci flow on Kato surfaces
Daniele Angella, Mauricio Corrêa

Limit theorems for Coulomb gases on a Jordan curve in an external potential
Kurt Johansson, Thomas Wolfs

Weak Asymptotic Symmetry of Quasisymmetric Embeddings on Quasilines
Katsuhiko Matsuzaki, Fei Tao

Rigidity of symmetric holomorphic functions on infinite-dimensional sequence spaces
David Feldman, Jon Bannon
Comments: Comments welcome!

[7] arXiv:2609.21007 (cross-list from math.AG) [pdf, html, other]
Abelian Relations are Liouvillian
Gabriel Fazoli, Jorge Vitório Pereira
Subjects: Algebraic Geometry (math.AG); Complex Variables (math.CV)

[1] arXiv:2609.24869 [pdf, html, other]
Bergman Kernel Asymptotics for Semipositive Line Bundles near Curvature-Degenerate Points
Yueh-Lin Chiang
Subjects: Complex Variables (math.CV); Differential Geometry (math.DG)

[13] arXiv:2609.23236 [pdf, html, other]
A computer-assisted lower bound for Landau's constant
Frank Wikström
Comments: 20 pages
Subjects: Complex Variables (math.CV)
[14] arXiv:2609.22996 [pdf, html, other]
A Demailly-type approximation of singular Finsler metrics
Zhuo Liu
Comments: 10 pages
Subjects: Complex Variables (math.CV)
[15] arXiv:2609.22699 [pdf, html, other]
A Product Principle for Harmonic Schwarz Lemmas: Boxes, Polydiscs, and Metric Geometry
Miljan Knežević, Miodrag Mateljević
Comments: 30 pages
Subjects: Complex Variables (math.CV)
[16] arXiv:2609.22279 [pdf, html, other]
Geometric index theorems for holomorphic foliations and curves
César Camacho, Rudy Rosas
Comments: 25 pages, 1 figure
Subjects: Complex Variables (math.CV); Algebraic Geometry (math.AG); Differential Geometry (math.DG); Dynamical Systems (math.DS)
[17] arXiv:2609.24614 (cross-list from math.FA) [pdf, html, other]
Compactness of Toeplitz Operators on the Bergman Space
Guangfu Cao, Li He, Shuqing Zhang
Comments: 29
Subjects: Functional Analysis (math.FA); Complex Variables (math.CV)
[18] arXiv:2609.24610 (cross-list from math.MG) [pdf, html, other]
Quasihyperbolic domains are CAT(2)
Toni Ikonen, Abhishek Pandey
Comments: 39 pages

A Demailly-type approximation of singular Finsler metrics
Zhuo Liu
We establish a Demailly-type approximation theorem for singular Finsler metrics satisfying the multiple coarse \(L^p\) extension property on holomorphic vector bundles. As an application, we obtain a new proof of the fact that the multiple coarse \(L^p\) extension property characterizes Griffiths positivity, as shown by Deng--Wang--Zhang--Zhou.

Wed, 23 Sep 2026 (showing 12 of 12 entries )
[1] arXiv:2609.26706 [pdf, html, other]
A Conditional Oka Complex Structure of the Six-Sphere
Zhangchi Chen
Comments: 19 pages. With Open problems at the end
Subjects: Complex Variables (math.CV)
[2] arXiv:2609.26528 [pdf, html, other]
A first-jet characterization of Griffiths positivity
Yun-Heng Du, Song-Yan Xie
Subjects: Complex Variables (math.CV); Algebraic Geometry (math.AG)
[3] arXiv:2609.26504 [pdf, html, other]
Ample vector bundles without Griffiths-semipositive metrics
Yun-Heng Du, Song-Yan Xie
Subjects: Complex Variables (math.CV); Algebraic Geometry (math.AG)
[4] arXiv:2609.26154 [pdf, html, other]
Radii of Concavity for Subclasses of Univalent Functions Associated with the Exponential Mapping
Pradip Das, Nabadwip Sarkar
Subjects: Complex Variables (math.CV)
[5] arXiv:2609.25644 [pdf, html, other]
Möbius Maps, Reflections and Lipschitz Constants
Alan F. Beardon, Toshiyuki Sugawa, Matti Vuorinen
Comments: 14 pages, 2 figures
Subjects: Complex Variables (math.CV)
[6] arXiv:2609.26716 (cross-list from math.DG) [pdf, html, other]
Compact Kähler surfaces with semipositive anticanonical bundle
Yifan Chen, Simion Filip, Song Sun, Valentino Tosatti, Junsheng Zhang
Subjects: Differential Geometry (math.DG); Complex Variables (math.CV); Dynamical Systems (math.DS)

Thu, 24 Sep 2026 (showing 20 of 20 entries )
[1] arXiv:2609.28443 [pdf, html, other]
A counterexample to Fuchs's conjecture
Alexandre Eremenko, Teng Zhang
Comments: 20 pages
Subjects: Complex Variables (math.CV)
[2] arXiv:2609.28370 [pdf, html, other]
Multiplicity-Weighted Moments Across a Harmonic Caustic: Closed Forms with Order-Independent Breakpoints
Tamás Bódis
Comments: 29 pages. Comments welcome
Subjects: Complex Variables (math.CV); Classical Analysis and ODEs (math.CA)
[3] arXiv:2609.28357 [pdf, html, other]
Improved Bohr-Rogosinski radius for holomorphic mappings with values in complex Banach spaces
Luyi Zeng, Liangpeng Xiong
Subjects: Complex Variables (math.CV)
[4] arXiv:2609.28311 [pdf, html, other]
Sharp Higher Integrability Theory, Part I: The Lp-norm of the Beurling--Ahlfors transform
Andrea Agazzi, Kari Astala, Giuseppe Bruno, Gabriele Cassese, Hang Chang, Daniel Faraco, André Guerra, Bernd Kirchheim, Aleksis Koski, Jan Kristensen, Federico Pasqualotto, István Prause, Riccardo Tione, Vladimír Šverák, László Székelyhidi
Comments: This is part of a collaborative community effort to incorporate AI-generated proofs in a productive way in mathematical research
Subjects: Complex Variables (math.CV); Analysis of PDEs (math.AP); Classical Analysis and ODEs (math.CA)
[5] arXiv:2609.28089 [pdf, html, other]
Periodic Hamiltonian approximation and Oka complements in \mathbb{C^2}
Yun-Heng Du, Bin Guo, Peng-Chao Wang, Song-Yan Xie
Subjects: Complex Variables (math.CV)

Thu, 24 Sep 2026 (showing 20 of 20 entries )
[1] arXiv:2609.28443 [pdf, html, other]
A counterexample to Fuchs's conjecture
Alexandre Eremenko, Teng Zhang
Comments: 20 pages
Subjects: Complex Variables (math.CV)
[2] arXiv:2609.28370 [pdf, html, other]
Multiplicity-Weighted Moments Across a Harmonic Caustic: Closed Forms with Order-Independent Breakpoints
Tamás Bódis
Comments: 29 pages. Comments welcome
Subjects: Complex Variables (math.CV); Classical Analysis and ODEs (math.CA)
[3] arXiv:2609.28357 [pdf, html, other]
Improved Bohr-Rogosinski radius for holomorphic mappings with values in complex Banach spaces
Luyi Zeng, Liangpeng Xiong
Subjects: Complex Variables (math.CV)
[4] arXiv:2609.28311 [pdf, html, other]
Sharp Higher Integrability Theory, Part I: The Lp-norm of the Beurling--Ahlfors transform
Andrea Agazzi, Kari Astala, Giuseppe Bruno, Gabriele Cassese, Hang Chang, Daniel Faraco, André Guerra, Bernd Kirchheim, Aleksis Koski, Jan Kristensen, Federico Pasqualotto, István Prause, Riccardo Tione, Vladimír Šverák, László Székelyhidi
Comments: This is part of a collaborative community effort to incorporate AI-generated proofs in a productive way in mathematical research
Subjects: Complex Variables (math.CV); Analysis of PDEs (math.AP); Classical Analysis and ODEs (math.CA)
[5] arXiv:2609.28089 [pdf, html, other]
Periodic Hamiltonian approximation and Oka complements in \mathbb{C^2}
Yun-Heng Du, Bin Guo, Peng-Chao Wang, Song-Yan Xie
Subjects: Complex Variables (math.CV)

arXiv:2609.29002 [pdf, html, other]
Metric entropy of Kähler potentials
Tomoyuki Hisamoto
Subjects: Complex Variables (math.CV); Differential Geometry (math.DG)

Quasi-Fuchsian groups and complex realisations of q-deformed real numbers
Alex Elzenaar

arXiv:2609.29666 (cross-list from math.AG) [pdf, html, other]
Compact Complex Threefolds Fibred by Two-Dimensional Complex Tori
Xiufan Yang
Comments: 74 pages
Subjects: Algebraic Geometry (math.AG); Complex Variables (math.CV)

] arXiv:2609.28986 (cross-list from math.DG) [pdf, html, other]
Ricci entropy, RCD structures and Kahler spaces
Bin Guo, Jian Song, Jacob Sturm
Subjects: Differential Geometry (math.DG); Algebraic Geometry (math.AG); Analysis of PDEs (math.AP); Complex Variables (math.CV)

[1] arXiv:2609.31385 [pdf, html, other]
A Criterion for the Sphericity of a CR Manifold
M. A. Stepanova
Subjects: Complex Variables (math.CV)

A two-parameter family of complex structures on S6
Jeff Viaclovsky
We construct a two-parameter family of complex structures on the standard six-sphere,
starting from a rational elliptic surface with singular fibers III∗,I1,I1,I1.
The resulting torus fibration over P1 has one multiple fiber of multiplicity four,
one hexagonal fiber, and two rank-one degenerations.
These complex structures are not biholomorphic to the original Alpöge--Claude examples.

age

[1] arXiv:2609.35597 [pdf, html, other]
Structural stability of the Jouanolou foliations in every degree
Sahil Gehlawat
Comments: 27 pages. Comments are welcome
Subjects: Complex Variables (math.CV); Dynamical Systems (math.DS)
[2] arXiv:2609.35518 [pdf, html, other]
Dual slice functions and dual quaternionic polynomials
Giulio Binosi, Caterina Stoppato
Comments: 36 pages
Subjects: Complex Variables (math.CV)
[3] arXiv:2609.35474 [pdf, html, other]
Strongly linearly convex exhaustion of a class of C-convex domains
Naveen Gupta
Comments: Comments are welcome!
Subjects: Complex Variables (math.CV)
[4] arXiv:2609.34435 [pdf, html, other]
Schwarz lemma on bounded symmetric domains endowed with holomorphic invariant Kähler--Berwald metrics
Yong He, Chunping Zhong
Comments: 20 pages
Subjects: Complex Variables (math.CV); Differential Geometry (math.DG)
[5] arXiv:2609.33300 [pdf, html, other]
A Converse to the Skoda L2 division theorem II
Zhi Li, Xiankui Meng, Jiafu Ning, Xiangyu Zhou
Comments: 28 pages, comments welcome!
Subjects: Complex Variables (math.CV)

Invariance of plurigenera for Kähler families with nef canonical bundles
Fusheng Deng, Jiafu Ning, Zhiwei Wang, Xiangyu Zhou
Let p:X→Δ be a proper holomorphic submersion from a Kähler manifold X. We prove that,
if KXt is nef for every t∈Δ, then dimCH0(Xt,mKXt) is independent of t for every integer m≥1.
This gives a partial answer　to Siu's conjecture on the invariance of plurigenera
for Kähler families.

[1] arXiv:2609.38032 [pdf, html, other]
Holomorphic curves of finite lower order with few inflection points
Alexandre Eremenko, Teng Zhang
Comments: 30 pages
Subjects: Complex Variables (math.CV)
[2] arXiv:2609.37936 [pdf, html, other]
Dolbeault-Hochster Theory of Polytopal LVM Manifolds
Ludmil Katzarkov, Kyoung-Seog Lee, Ernesto Lupercio, Laurent Meersseman
Subjects: Complex Variables (math.CV); Algebraic Geometry (math.AG); Algebraic Topology (math.AT)
[3] arXiv:2609.37804 [pdf, html, other]
Invariance of plurigenera for Kähler families with nef canonical bundles
Fusheng Deng, Jiafu Ning, Zhiwei Wang, Xiangyu Zhou
Subjects: Complex Variables (math.CV)
[4] arXiv:2609.37704 [pdf, html, other]
On the zero sets of the Bargmann Fock space
Shengzhao Hou, Pan Ma
Subjects: Complex Variables (math.CV)

[1] arXiv:2609.40040 [pdf, html, other]
Matsumura's extension problem for pluricanonical forms in Kähler families I: the smooth and essentially Moishezon cases
Jian Chen, Sheng Rao, Kai Wang
Comments: 27 pages
Subjects: Complex Variables (math.CV); Algebraic Geometry (math.AG)
[2] arXiv:2609.39676 [pdf, html, other]
A Counterexample to the Liu-Luo-Luo Conjecture on the Harmonic Landau Radius
Mikhail Borovikov
Subjects: Complex Variables (math.CV)
[3] arXiv:2609.39622 [pdf, html, other]
The sharp radius in Korenblum's maximum principle for the Fock space
Frank Wikström
Comments: 16 pages
Subjects: Complex Variables (math.CV)
[4] arXiv:2609.39136 [pdf, html, other]
Characterization of Sobolev regularity of plurisubharmonic functions
Hongrong Chen, Guokuan Shao, Wenxuan Wang
Subjects: Complex Variables (math.CV)
[5] arXiv:2609.38669 [pdf, html, other]
On zero distribution of the sum of Gegenbauer polynomials
Khang Tran, Riley White
Subjects: Complex Variables (math.CV)

[7] arXiv:2609.38595 (cross-list from math.DG) [pdf, html, other]
Compact multi-monopole moduli spaces on Kähler surfaces
Ollie Thakar
Comments: 29 pages
Subjects: Differential Geometry (math.DG); Algebraic Geometry (math.AG); Complex Variables (math.CV); Geometric Topology (math.GT)
[8] arXiv:2609.38546 (cross-list from math.DG) [pdf, html, other]
Complex evolutoids of holomorphic plane curves
Jorge Luiz Deolindo-Silva, Mostafa Salarinoghabi
Subjects: Differential Geometry (math.DG); Complex Variables (math.CV)
[9] arXiv:2609.38442 (cross-list from math.AG) [pdf, html, other]
Complex structures on S6
Philip Engel
Comments: 25 pages, 2 figures
Subjects: Algebraic Geometry (math.AG); Complex Variables (math.CV); Differential Geometry (math.DG); Geometric Topology (math.GT)
[10] arXiv:2609.30204 (cross-list from math.DS) [pdf, html, other]
Equidistribution of saddle periodic points for automorphisms on compact Kähler manifolds
Muhan Luo, Qi Zhou
Subjects: Dynamical Systems (math.DS); Complex Variables (math.CV)

[6] arXiv:2610.00560 [pdf, html, other]
Conformal rigidity: progress and challenges
Dimitrios Ntalampekos, Malik Younsi
Comments: To appear in Proceedings of the 2026 International Congress of Basic Science
Subjects: Complex Variables (math.CV)
[7] arXiv:2610.00250 [pdf, html, other]
Oka Geometry and Deformations of Torus-Fibred Complex Six-Spheres
Yun-Heng Du, Bin Guo, Yuta Kusakabe, Song-Yan Xie
Subjects: Complex Variables (math.CV); Algebraic Geometry (math.AG)
[8] arXiv:2610.00228 [pdf, html, other]
Answers to three problems in Dinh-Sibony's list on holomorphic foliation theory
Zhangchi Chen
Comments: 13 pages. With 3 open problems in the end
Subjects: Complex Variables (math.CV)
[9] arXiv:2610.02109 (cross-list from math.AG) [pdf, html, other]
Higher-Page Jacobian and Albanese Tori
Dan Popovici, Luis Ugarte
Comments: 31 pages
Subjects: Algebraic Geometry (math.AG); Complex Variables (math.CV); Differential Geometry (math.DG)

[7] arXiv:2610.00250 [pdf, html, other]
Oka Geometry and Deformations of Torus-Fibred Complex Six-Spheres
Yun-Heng Du, Bin Guo, Yuta Kusakabe, Song-Yan Xie
Subjects: Complex Variables (math.CV); Algebraic Geometry (math.AG)
[8] arXiv:2610.00228 [pdf, html, other]
Answers to three problems in Dinh-Sibony's list on holomorphic foliation theory
Zhangchi Chen
Comments: 13 pages. With 3 open problems in the end
Subjects: Complex Variables (math.CV)
[9] arXiv:2610.02109 (cross-list from math.AG) [pdf, html, other]
Higher-Page Jacobian and Albanese Tori
Dan Popovici, Luis Ugarte
Comments: 31 pages
Subjects: Algebraic Geometry (math.AG); Complex Variables (math.CV); Differential Geometry (math.DG)
[10] arXiv:2610.02085 (cross-list from stat.CO) [pdf, html, other]
A Monte Carlo Estimator for an Isolated Polynomial Zero via Contour Integral Representations
Athanasios Christou Micheas
Comments: 21 pages, 2 plots, 1 table, Keywords: Argument Principle, Cauchy Integral, Contour Integration, Hoeffding Error Bounds, Monte Carlo Integration, Monte Carlo Simulation, Polynomial Roots
Subjects: Computation (stat.CO); Complex Variables (math.CV)
[11] arXiv:2610.01525 (cross-list from math.DS) [pdf, html, other]
Holomorphic expanding maps
Jiesong Zhang
Comments: 4 pages. Comments are welcome
Subjects: Dynamical Systems (math.DS); Complex Variables (math.CV)
[12] arXiv:2610.01221 (cross-list from math.DG) [pdf, html, other]
Algebraic limits of Hermitian-Yang-Mills connections on Kähler surfaces
Keshu Zhou
Subjects: Differential Geometry (math.DG); Algebraic Geometry (math.AG); Complex Variables (math.CV)

60 名前：１３２人目の素数さん[] 投稿日：2026/10/03(土) 06:12:53.23 ID:y40d93XT
[6] arXiv:2610.00560 [pdf, html, other]
Conformal rigidity: progress and challenges
Dimitrios Ntalampekos, Malik Younsi
Comments: To appear in Proceedings of the 2026 International Congress of Basic Science
Subjects: Complex Variables (math.CV)
[7] arXiv:2610.00250 [pdf, html, other]
Oka Geometry and Deformations of Torus-Fibred Complex Six-Spheres
Yun-Heng Du, Bin Guo, Yuta Kusakabe, Song-Yan Xie
Subjects: Complex Variables (math.CV); Algebraic Geometry (math.AG)
[8] arXiv:2610.00228 [pdf, html, other]
Answers to three problems in Dinh-Sibony's list on holomorphic foliation theory
Zhangchi Chen
Comments: 13 pages. With 3 open problems in the end
Subjects: Complex Variables (math.CV)
[9] arXiv:2610.02109 (cross-list from math.AG) [pdf, html, other]
Higher-Page Jacobian and Albanese Tori
Dan Popovici, Luis Ugarte
Comments: 31 pages
Subjects: Algebraic Geometry (math.AG); Complex Variables (math.CV); Differential Geometry (math.DG)