The Hartogs extension phenomenon in toric varieties
S Feklistov, A Shchuplev - The Journal of Geometric Analysis, 2021 - Springer
The Journal of Geometric Analysis, 2021•Springer
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.
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.
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.
Springer
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