The F-signature of an affine semigroup ring

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dc.creatorSingh, Anurag K.
dc.date2004-09-09
dc.date.accessioned2026-07-07T05:11:57Z
dc.date.available2026-07-07T05:11:57Z
dc.descriptionWe prove that the F-signature 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 F-signature of Segre products of polynomial rings, and of Veronese subrings of polynomial rings. Our technique involves expressing the F-signature of an affine semigroup ring as the difference of the Hilbert-Kunz multiplicities of two monomial ideals, and then using Watanabe's result that these Hilbert-Kunz multiplicities are rational numbers.
dc.identifierhttps://arxiv.org/abs/math/0409143
dc.identifierhttp://arxiv.org/abs/math/0409143
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/72418
dc.subjectCommutative Algebra
dc.subject13A35, 13D40, 14M12
dc.titleThe F-signature of an affine semigroup ring
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