複素解析5

前スレ
https://rio2016.5ch.net/test/read.cgi/math/1693984172/

過去スレ
https://rio2016.5ch.net/test/read.cgi/math/1677245275/
https://rio2016.5ch.net/test/read.cgi/math/1667359347/
https://rio2016.5ch.net/test/read.cgi/math/1599740381/

Harmonic Approximation and Resolvent Estimates for Non-Self-Adjoint Operators
Stepan Malkov

Spectral constants for the quantum annulus
Sourav Pal, James E. Pascoe, Nitin Tomar

Variable Elliptic Structures on the Plane: Transport Dynamics, Rigidity, and Function Theory
Daniel Alayón-Solarz

Applications of Reproducing Kernels in composition operators
Preeti Kumari, P. Muthukumar, Antti Rasila

Applications of Reproducing Kernels in composition operators
Preeti Kumari, P. Muthukumar, Antti Rasila

Angle duality and a gap principle for convex combinations of incomplete polynomials on the unit circle
Teng Zhang

Angle duality and a gap principle for convex combinations of incomplete polynomials on the unit circle
Teng Zhang

Zalcman Conjecture for Starlike Mappings in Higher Dimensions
Surya Giri

"Ax's Theorem: An Application of Logic to Ordinary Mathematics"

Zalcman Conjecture for Starlike Mappings in Higher Dimensions
Surya Giri

p-Kähler structures on fibrations and reductive Lie groups
Anna Fino, Gueo Grantcharov, Asia Mainenti

Generalizing the Clunie--Hayman construction in an Erdős maximum-term problem
Yixin He, Quanyu Tang

Schwarz-Pick Lemma for Invariant Harmonic Functions on the Complex Unit Ball
Kapil Jaglan, Aeryeong Seo

The Oka principle for holomorphic fibre bundles of Holder-Zygmund classes on strongly pseudoconvex domains
Franc Forstneric

On the size of boundary pluripolar sets
Mårten Nilsson

Hodge theory for twisted log-differential forms
Junyan Cao

Identifying Bergman space functions from intervals
Andreas Hartmann, Marcu-Antone Orsoni

Borel exceptional values in several complex variables and their applications to shared values of shifts and difference operators
Abhijit Banerjee, Sujoy Majumder, Jhilik Banerjee

On equicontinuity of mappings with variable domains
N. Ilkevych, D. Romash, E. Sevost'yanov

Fine properties of functions in complex Sobolev spaces
Ngoc Cuong Nguyen

Vanishing theorems for pseudo-effective line bundles
Xiankui Meng, Chenghao Qing, Xiangyu Zhou

On Montel theorem for mappings with inverse moduli inequalities
Miodrag Mateljevic, Evgeny Sevost'yanov

Ellipsoids in pseudoconvex domains
Laszlo Lempert

A Degenerate Elliptic System Solvable by Transport: A Cautionary Example
Daniel Alayón-Solarz

Inequalities For The Growth Of Rational Functions With Prescribed Poles
N. A. Rather, Mohmmad Shafi Wani, Danish Rashid Bhat

Coefficient problems of Starlike Functions Related to a Balloon-Shaped Domain
S. Sivaprasad Kumar, A. Tripathi

Ellipsoids in pseudoconvex domains
Laszlo Lempert

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Characterization of tangent quasicircles and quasiannuli
Dimitrios Ntalampekos

Characterization of tangent quasicircles and quasiannuli
Dimitrios Ntalampekos

Contour Integral Representations of Finite-part Integrals with Logarithmic Singularities
Reynaldo P. Ylanan, Eric A. Galapon

The Oka principle for holomorphic fibre bundles of Holder-Zygmund classes on strongly pseudoconvex domains
Franc Forstneric

Vanishing theorems for pseudo-effective line bundles
Xiankui Meng, Chenghao Qing, Xiangyu Zhou

Vanishing theorems for pseudo-effective line bundles
Xiankui Meng, Chenghao Qing, Xiangyu Zhou

Characterization of tangent quasicircles and quasiannuli
Dimitrios Ntalampekos

An algebraic theory of Lojasiewicz exponents
Tai Huy Ha

研究集会で聴いた↓

A Sharp Lower Bound for the Spectrum of the Hodge Laplacian on Kähler Hyperbolic Manifolds and its Applications
Ye-Won Luke Cho, Young-Jun Choi, Kang-Hyurk Lee

Frequently hypercyclic sequences of differential operators on the space of entire functions
L. Bernal-González, M.C. Calderón-Moreno, J.A. Prado-Bassas

Gromov-Hausdorff limits of immortal Kähler-Ricci flows
Man-Chun Lee, Valentino Tosatti, Junsheng Zhang

Tosattiは今度のICMの招待講演者

ChatGPT
>
> 先生のご質問は、まさに多変数複素解析の核心ですね。
> ここでは少し数学的に整理して、直観と構造の両方をはっきりさせてみます。
>
> -------------------------
>
> 1⃣ 「Cn\mathbb{C}^nCn
> と双正則同値な部分領域」とは何か
>
> まず「双正則同値（biholomorphic）」とは、
>
> 正則写像で
>
> 逆写像も正則
>
> という 複素解析的同型 のことです。
>
> したがって
>
> U⊂CnU \subset \mathbb{C}^nU⊂Cn が
> Cn\mathbb{C}^nCn と双正則同値
>
> とは、
>
> ∃  F:Cn→U\exists \; F : \mathbb{C}^n \to U∃F:Cn→U
>
> が双正則写像である、という意味です。
>
> つまり
>
> 見た目は「部分領域」
>
> しかし複素解析的には 完全に Cn\mathbb{C}^nCn と同じ
>
> ということです。
>
> -------------------------
>
> n=1n=1n=1 ではこんなことは起こりません。
>
> しかし n≥2n \ge 2n≥2 では起こります。
>
> これは
> Pierre Fatou と
> Ludwig Bieberbach
> による現象に由来し、
>
> Fatou–Bieberbach 領域
>
> と呼ばれます。
>
> これが多変数の「自由さ」です。

The Brauer group of a Stein algebra
Olivier Benoist, James Hotchkiss

ホッチキスさんは数学もやってるんだ

A Čech--Stokes Pushout Groupoid: a Log/Kummer Betti Presenter for Stokes Torsors
Mauricio Corrêa

Hyponormal contractions and analytic shifts
Sneha B, Neeru Bala, Jaydeb Sarkar

Continuity of Julia sets and invariant rays
Xiaoguang Wang

Hyponormal contractions and analytic shifts
Sneha B, Neeru Bala, Jaydeb Sarkar

Stable polynomials and bounded rational functions in the unit ball
Greg Knese, James Eldred Pascoe, Alan Sola

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では

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