Lifting of morphisms to quotient presentations

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dc.creatorBerchtold, Florian
dc.date2002-09-30
dc.date.accessioned2026-07-07T04:51:22Z
dc.date.available2026-07-07T04:51:22Z
dc.descriptionIn this article we investigate algebraic morphisms between toric varieties. Given presentations of toric varieties as quotients we are interested in the question when a morphism admits a lifting to these quotient presentations. We show that this can be completely answered in terms of invariant divisors. As an application we prove that two toric varieties, which are isomorphic as abstract algebraic varieties, are even isomorphic as toric varieties. This generalizes a well-known result of Demushkin on affine toric varieties.
dc.description11 pages, to appear in manuscripta math
dc.identifierhttps://arxiv.org/abs/math/0209406
dc.identifierhttp://arxiv.org/abs/math/0209406
dc.identifierManuscripta Math. 110, 33-44(2003)
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/65122
dc.subjectAlgebraic Geometry
dc.subjectCommutative Algebra
dc.subject13A50, 14L30, 14M25, 14R20
dc.titleLifting of morphisms to quotient presentations
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