Extensions of Toric Varieties

Details Extensions of Toric Varieties Extensions of Toric Varieties

2010-09-02

arxiv.org/abs/1009.0382v2

Electron. J. Comb. 18 (2011), No. 1, Research Paper P93

Mathematics

Commutative Algebra

8 pages

Scientific paper

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.

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