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/

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)