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arXiv · 2011.07814

The Hartogs extension phenomenon in toric varieties

Sergey Feklistov·Alexey Shchuplev
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Abstract

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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Sergey Feklistov, Alexey Shchuplev. 2020-11-16. The Hartogs extension phenomenon in toric varieties. https://arxiv.org/abs/2011.07814

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