複素解析6

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)