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The Regularity of a Toric Variety

✍ Scribed by E Briales-Morales; P Pisón-Casares; A Vigneron-Tenorio

Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
164 KB
Volume
237
Category
Article
ISSN
0021-8693

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✦ Synopsis

We give a method for computing the degrees of the minimal syzygies of a toric variety by means of combinatorial techniques. Indeed, we complete the explicit description of the minimal free resolution of the associated semigroup algebra, using the simplicial representation of Koszul homology which appeared in A.

Ž . Campillo and C. Marijuan 1991, Sem. Theor. Nombres Bordeaux 3, 249᎐260 . As ´´á n application, we obtain an algorithm for computing the Castelnuovo᎐Mumford regularity of a projective toric variety. This regularity is explicitly bounded by means of the semigroup generators which parametrize the variety. ᮊ 2001 Aca- demic Press

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