The rationality of the Hilbert-Kunz multiplicity in graded dimension two

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dc.creatorBrenner, Holger
dc.date2004-02-11
dc.date2005-07-07
dc.date.accessioned2026-07-07T05:05:22Z
dc.date.available2026-07-07T05:05:22Z
dc.descriptionWe show that the Hilbert-Kunz multiplicity is a rational number for an R_+-primary homogeneous ideal I=(f_1, ..., f_n) in a two-dimensional graded domain R of finite type over an algebraically closed field of positive characteristic. Moreover we give a formula for the Hilbert-Kunz multiplicity in terms of certain rational numbers coming from the strong Harder-Narasimhan filtration of the syzygy bundle Syz(f_1, . . ., f_n) on the projective curve Y = Proj R.
dc.descriptionSome minor changes
dc.identifierhttps://arxiv.org/abs/math/0402180
dc.identifierhttp://arxiv.org/abs/math/0402180
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/70136
dc.subjectCommutative Algebra
dc.subjectAlgebraic Geometry
dc.subject13A35; 13D02; 13D40; 14H60
dc.titleThe rationality of the Hilbert-Kunz multiplicity in graded dimension two
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