论文标题

Hartogs扩展现象

The Hartogs extension phenomenon in toric varieties

论文作者

Feklistov, Sergey, Shchuplev, Alexey

论文摘要

我们研究了非紧凑型孢子品种中的Hartogs扩展现象及其与第一个同胞组的关系,并具有紧凑的支持。我们表明,如果粉丝补体的至少有一个相关的组成部分是凹入的,则可以证明,图意的品种承认了这种现象。

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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