On toric varieties and algebraic semigroups

dc.creatorBoyarchenko, Dmitriy
dc.date2000-04-26
dc.date.accessioned2026-07-07T04:34:53Z
dc.date.available2026-07-07T04:34:53Z
dc.descriptionThe 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.
dc.descriptionLaTeX, 13 pages
dc.identifierhttps://arxiv.org/abs/math/0004167
dc.identifierhttp://arxiv.org/abs/math/0004167
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/59079
dc.subjectAlgebraic Geometry
dc.titleOn toric varieties and algebraic semigroups
dc.typetext

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