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Alexey Shchuplev

Publications and source records attributed to Alexey Shchuplev.

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The Hartogs extension phenomenon in toric varieties

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.

math.CV