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Turkish Journal of Mathematics

Authors

JINJIA LI

DOI

10.3906/mat-1912-111

Abstract

This paper studies the distribution of socle degrees of $R/I^{[p^e]}$ when $e$ is large, for a homogeneous ideal $I$ in a two-dimensional standard-graded normal domain $R$ in positive characteristic $p$. We prove that the distribution is very much related to the asymptotic slopes of the syzygy bundle Syz$(I)$, which have been known to determine the Hilbert-Kunz multiplicity of $I$.

First Page

1510

Last Page

1519

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Mathematics Commons

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