Lifting of morphisms to quotient presentations

Details Lifting of morphisms to quotient presentations Lifting of morphisms to quotient presentations

2002-09-30

arxiv.org/abs/math/0209406v1

Manuscripta Math. 110, 33-44(2003)

Mathematics

Algebraic Geometry

11 pages, to appear in manuscripta math

Scientific paper

In 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.

Affiliated with

Also associated with

No associations

Rating

Lifting of morphisms to quotient presentations does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Lifting of morphisms to quotient presentations, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Lifting of morphisms to quotient presentations will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-694131