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arXiv:math/0004167 [math.AG]AbstractReferencesReviewsResources

On toric varieties and algebraic semigroups

Dmitriy Boyarchenko

Published 2000-04-26Version 1

The main result of this paper is that every (separated) toric variety which has a semigroup structure compatible with multiplication on the underlying torus is necessarily affine. In the course of proving this statement, we also give a proof of the fact that every separated toric variety may be constructed from a certain fan in a Euclidean space. To our best knowledge, this proof differs essentially from the ones which can be found in the literature.

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