多変数解析函数論6

多変数関数論（多変数複素解析）について語り合いましょう！


■前スレ
多変数複素解析5
https://rio2016.5ch.io/test/read.cgi/math/1752363558/

Asymptotic expansions of L2-extension indices and curvature positivity
Takahiro Inayama

俺は載せたい、PRISMじゃ業績にならん

annalsには共著で2本書いたんだろ

Math. Zeit.でも200回以上引用されれば
小さい賞くらいは貰える

ジャポニカはどうか

学習帳

米

MATHEMATICA JAPONICA

チョキで勝ったら、超ハッピー。

うんグーヂーしん

温故知新
念のため

Tateの孫が数学者であることを知った

condensedやらが言われ出した頃から有名
可愛いイケメンですな

Clausen-Scholtze

309１３２人目の素数さん
垢版 | 大砲
2026/09/18(金) 09:32:45.74ID:f0qUjX3N
欧米では３世君の活躍も見られるが
日本で期待される３世はいるのか

高木貞治の孫は活躍した

黒田兄弟
活躍したのはお兄さん？

誰の孫？

貞治の娘の子供

黒田家か

河合家にもいたはず
数学者ではないが

訂正
河合ーー川合＞

川合眞紀

スタップ騒動時にテレビに出ていた

化学

高木貞二という偉い学者もいたな
貞治とは無縁か

高校生の時古本屋で見た

心理学

岡潔は高木貞治に
「多変数関数論は四通八達の景勝の地」
と説明した。

昨晩はS藤さんが北京大で
8名に囲まれて歓談

Y田理論が北京で展開中らしい

55 名前：１３２人目の素数さん[] 投稿日：2026/09/30(水) 07:24:03.80 ID:EU6UeTDB
[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)

56 名前：１３２人目の素数さん[] 投稿日：2026/09/30(水) 13:03:46.65 ID:CBfBICI8
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.

57 名前：１３２人目の素数さん[] 投稿日：2026/10/01(木) 06:10:27.13 ID:wV0yoMF/
[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)

58 名前：１３２人目の素数さん[] 投稿日：2026/10/01(木) 19:04:07.94 ID:E29S04zb
[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)

[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)
[6] arXiv:2609.40196 (cross-list from math.DS) [pdf, html, other]
Dynamics of Hyperbolic Schwarz Reflections
Kirill Lazebnik
Subjects: Dynamical Systems (math.DS); Complex Variables (math.CV)

>>183
果たしてAIに解けるか？
Lipschitz連続な場合も含め

修論なんだから行間を補って（貼り合わせ等）勉強したことを示せばいいんじゃね
未解決問題をAIに解いて貰っても自分の業績にはならない。AI研究者じゃないんだから

AIに解けるかどうかは問題文をコピペするば分かるよ、よくごまかすからチェックは必要だけど

59 名前：１３２人目の素数さん[] 投稿日：2026/10/02(金) 06:29:04.21 ID:6XTJ1iHD
[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)

Fri, 2 Oct 2026 (showing 19 of 19 entries )
[1] arXiv:2610.02035 [pdf, html, other]
Borcea's 2-variance conjecture
Teng Zhang
Comments: 48 pages. All comments are welcome!
Subjects: Complex Variables (math.CV)
[2] arXiv:2610.02009 [pdf, html, other]
Baernstein's quasi-norm monotonicity conjecture for polynomials with unimodular zero
Teng Zhang
Comments: 23 pages. All comments are welcome!
Subjects: Complex Variables (math.CV)
[3] arXiv:2610.00914 [pdf, html, other]
Complex Dirichlet problem with unbounded boundary values
Huy Hoang Dao, Quang Dieu Nguyen
Comments: 33 pages
Subjects: Complex Variables (math.CV)
[4] arXiv:2610.00909 [pdf, html, other]
Continuity of pluricomplex Green functions with hypersurface poles on certain B-regular domains
Huy Hoang Dao, Quang Dieu Nguyen, Duc Hieu Tran
Comments: 35 pages
Subjects: Complex Variables (math.CV)
[5] arXiv:2610.00627 [pdf, html, other]
Complex structures of non-autonomous basins
Luka Boc Thaler
Subjects: Complex Variables (math.CV); Dynamical Systems (math.DS)

分岐リーマン領域の理論は完成していない
Yum-Tong Siuの研究だけでは不十分である