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Please use this identifier to cite or link to this item: http://hdl.handle.net/1807/9841

Title: Hilbert-Kunz functions of cubic curves and surfaces
Authors: Buchweitz, Ragnar-Olaf
Chen, Qun
Issue Date: 1997
Publisher: Academic Press
Citation: JOURNAL OF ALGEBRA, 197, 246-267
Abstract: We 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.
URI: http://hdl.handle.net/1807/9841
Appears in Collections:Mathematics

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