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

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dc.creatorEnescu, Florian
dc.creatorShimomoto, Kazuma
dc.date2005-02-14
dc.date.accessioned2026-07-07T05:16:59Z
dc.date.available2026-07-07T05:16:59Z
dc.descriptionWe 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.
dc.description14 pages, preprint version, final version to appear in Journal of Algebra, 285, no 1, 222-237
dc.identifierhttps://arxiv.org/abs/math/0502289
dc.identifierhttp://arxiv.org/abs/math/0502289
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/74193
dc.subjectCommutative Algebra
dc.subject13D10, 13A35, 13H15
dc.titleOn the upper semi-continuity of the Hilbert-Kunz multiplicity
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