The Fsignature of an affine semigroup ring
Abstract
We prove that the Fsignature of an affine semigroup ring of positive characteristic is always a rational number, and describe a method for computing this number. We use this method to determine the Fsignature of Segre products of polynomial rings, and of Veronese subrings of polynomial rings. Our technique involves expressing the Fsignature of an affine semigroup ring as the difference of the HilbertKunz multiplicities of two monomial ideals, and then using Watanabe's result that these HilbertKunz multiplicities are rational numbers.
 Publication:

arXiv Mathematics eprints
 Pub Date:
 September 2004
 arXiv:
 arXiv:math/0409143
 Bibcode:
 2004math......9143S
 Keywords:

 Commutative Algebra;
 13A35;
 13D40;
 14M12