The Hilbert-Kunz Function for Binomial Hypersurfaces
I give an iterative closed form formula for the Hilbert-Kunz function for any binomial hypersurface in general, over any field of arbitrary positive characteristic. I prove that the Hilbert-Kunz multiplicity associated with any binomial hypersurface over any field of arbitrary positive characteristic is rational. As an example, I also prove the well known fact that for 1-dimensional binomial hypersurfaces the Hilbert-Kunz multiplicity is a positive integer and give a precise account of the integer.
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2013 ◽
Vol 17
(8)
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pp. 1576-1579
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Keyword(s):
2019 ◽
pp. 359-367
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Keyword(s):
2019 ◽
Vol 18
(12)
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pp. 2468-2472
1990 ◽
Vol 140
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pp. 13-30
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2010 ◽
Vol 19
(08)
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pp. 1001-1023
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