Extensions of Toric Varieties
Commutative Algebra
2011-07-08 v2 Algebraic Geometry
Combinatorics
Abstract
In this paper, we introduce the notion of "extension" of a toric variety and study its fundamental properties. This gives rise to infinitely many toric varieties with a special property, such as being set theoretic complete intersection or arithmetically Cohen-Macaulay (Gorenstein) and having a Cohen-Macaulay tangent cone or a local ring with non-decreasing Hilbert function, from just one single example with the same property, verifying Rossi's conjecture for larger classes and extending some results appeared in literature.
Cite
@article{arxiv.1009.0382,
title = {Extensions of Toric Varieties},
author = {Mesut Sahin},
journal= {arXiv preprint arXiv:1009.0382},
year = {2011}
}
Comments
8 pages