Extensions of Toric Varieties


Sahin M.

ELECTRONIC JOURNAL OF COMBINATORICS, cilt.18, 2011 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 18 Konu: 1
  • Basım Tarihi: 2011
  • Dergi Adı: ELECTRONIC JOURNAL OF COMBINATORICS

Özet

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.