Hilbert-Kunz functions of cubic curves and surfaces

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dc.creatorBuchweitz, Ragnar-Olaf
dc.creatorChen, Qun
dc.date1996-10-09
dc.date.accessioned2026-07-07T09:07:00Z
dc.date.available2026-07-07T09:07:00Z
dc.descriptionWe determine the Hilbert-Kunz function of plane elliptic curves in odd characteristic, as well as over arbitrary fields the generalized Hilbert-Kunz functions of nodal cubic curves. Together with results of K. Pardue and P. Monsky, this completes the list of Hilbert-Kunz functions of plane cubics. Combining these results with the calculation of the (generalized) Hilbert-Kunz function of Cayley's cubic surface, it follows that in each degree and over any field of positive characteristic there are curves resp. surfaces taking on the minimally possible Hilbert-Kunz multiplicity.
dc.descriptionLaTex 2e with Xy-pic v3.2 for commutative diagrams
dc.identifierhttps://arxiv.org/abs/alg-geom/9610009
dc.identifierhttp://arxiv.org/abs/alg-geom/9610009
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/150217
dc.subjectAlgebraic Geometry
dc.subjectCommutative Algebra
dc.subject11C20, 13H15, 14H45
dc.titleHilbert-Kunz functions of cubic curves and surfaces
dc.typetext

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