The Hartogs Extension Phenomenon in Toric Varieties

被引：0
作者：
Sergey Feklistov
Alexey Shchuplev
机构：
[1] Siberian Federal University,Krasnoyarsk Mathematics Center
[2] Siberian Federal University,undefined
来源：
The Journal of Geometric Analysis | 2021年 / 31卷
关键词：
Hartogs phenomenon; Toric variety; Holomorphic extension; 32D15; 32A10; 14M25;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We study the Hartogs extension phenomenon in non-compact toric varieties and its relation to the first cohomology group with compact support. We show that a toric variety admits this phenomenon if at least one connected component of the fan complement is concave, proving by this an earlier conjecture M. Marciniak.
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页码：12034 / 12052
页数：18
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