The Hartogs extension phenomenon in toric varieties
Complex Variables
2021-08-17 v2 Algebraic Geometry
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.
Keywords
Cite
@article{arxiv.2011.07814,
title = {The Hartogs extension phenomenon in toric varieties},
author = {Sergey Feklistov and Alexey Shchuplev},
journal= {arXiv preprint arXiv:2011.07814},
year = {2021}
}
Comments
16 pages, 1 figure