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- W2109365733 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." @default.
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- W2109365733 date "1997-11-01" @default.
- W2109365733 modified "2023-10-16" @default.
- W2109365733 title "Hilbert–Kunz Functions of Cubic Curves and Surfaces" @default.
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- W2109365733 doi "https://doi.org/10.1006/jabr.1997.7060" @default.
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