On the upper semi-continuity of the Hilbert-Kunz multiplicity

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We show that the Hilbert-Kunz multiplicity of a $d$-dimensional nonregular complete intersection over the algebraic closure of $F_p$, $p>2$ prime, is bounded by below by the Hilbert-Kunz multiplicity of the hypersurface $\sum _{i=0}^{d} x_i^2=0$, answering positively a conjecture of Watanabe and Yoshida in the case of complete intersections.
14 pages, preprint version, final version to appear in Journal of Algebra, 285, no 1, 222-237

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Commutative Algebra, 13D10, 13A35, 13H15

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http://salesiana.dossiersoluciones.com/handle/123456789/74193

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0502289
 http://arxiv.org/abs/math/0502289

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arXiv