Lines in affine simlicial toric varieties
Shulim Kaliman
TL;DR
This paper proves the uniqueness of line embeddings in the regular part of certain high-dimensional simplicial toric varieties, up to automorphisms, under specific smoothness conditions.
Contribution
It establishes a uniqueness result for line embeddings in affine simplicial toric varieties of dimension at least four, considering automorphisms and smoothness assumptions.
Findings
Line admits a unique embedding up to automorphisms in the specified varieties.
The result applies to varieties smooth in codimension 2.
The proof covers varieties over algebraically closed fields of characteristic zero.
Abstract
We prove that up to automorphisms a line admits a unique embedding into the regular part of of a simplicial toric variety of dimension n>=4 over an algebraically closed field of characteristic zero which is smooth in codimension 2.
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Taxonomy
TopicsAlgebraic Geometry and Number Theory · Advanced Algebra and Geometry · Polynomial and algebraic computation