F-thresholds and Bernstein-Sato polynomials

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dc.creatorMustata, Mircea
dc.creatorTakagi, Shunsuke
dc.creatorWatanabe, Kei-ichi
dc.date2004-11-08
dc.date.accessioned2026-07-07T06:29:45Z
dc.date.available2026-07-07T06:29:45Z
dc.descriptionWe introduce and study invariants of singularities in positive characteristic called F-thresholds. They give an analogue of the jumping coefficients of multiplier ideals in characteristic zero. We discuss the connection between the invariants of an ideal in characteristic zero and the invariants of the different reduction mod p of this ideal. Our main point is that this relation depends on arithmetic properties of p. We also describe a new connection between invariants mod p and the roots of the Bernstein-Sato polynomial.
dc.description22 pages, submitted to the Proceedings of the 4th ECM, Stockolm, 2004
dc.identifierhttps://arxiv.org/abs/math/0411170
dc.identifierhttp://arxiv.org/abs/math/0411170
dc.identifierEuropean Congress of Mathematics, 341--364, Eur. Math. Soc., Zürich, 2005.
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/98145
dc.subjectAlgebraic Geometry
dc.subjectCommutative Algebra
dc.subject14B05 (Primary); 13A35 (secondary)
dc.titleF-thresholds and Bernstein-Sato polynomials
dc.typetext

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