Characterizations of Regular Local Rings in Positive Characteristics

Simple item page
dc.creatorLi, Jinjia
dc.date2007-02-18
dc.date2007-11-07
dc.date.accessioned2026-07-07T08:41:08Z
dc.date.available2026-07-07T08:41:08Z
dc.descriptionIn this note, we provide several characterizations of regular local rings in positive characteristics, in terms of the Hilbert-Kunz multiplicity and its higher $\tor$ counterparts $ıt_i=\underset{n \to \infty}{\lim} ł(\tor_i(k,{}^{f^n} R))/p^{nd}$. We also apply the characterizations to improve a recent result by Bridgeland and Iyengar in the characteristic $p$ case. Our proof avoids using the existence of big Cohen-Macaulay modules, which is the major tool in the proof of Bridgeland and Iyengar.
dc.description6 pages
dc.identifierhttps://arxiv.org/abs/math/0702531
dc.identifierhttp://arxiv.org/abs/math/0702531
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/141589
dc.subjectCommutative Algebra
dc.subject13A35, 13D07, 13D25, 13H05
dc.titleCharacterizations of Regular Local Rings in Positive Characteristics
dc.typetext

Files

Collections

arXiv