The intersection homology D-module in finite characteristic

dc.creatorBlickle, Manuel
dc.date2002-10-09
dc.date2004-03-01
dc.date.accessioned2026-07-07T04:51:48Z
dc.date.available2026-07-07T04:51:48Z
dc.descriptionFor Y a closed normal subvariety of codimension c of a smooth complex variety X, Brylinski and Kashiwara showed that the local cohomology module H^c_Y(X,O_X) contains a unique simple D_X-submodule, denoted by L(Y,X). In this paper the analogous result is shown for X and Y defined over a perfect field of finite characteristic. Moreover, a local construction of Ll(Y,X) is given, relating it to the theory of tight closure. From the construction one obtains a criterion for the D_X-simplicity of H^c_Y(X).
dc.description23 pages, streamlined exposition according to referee's suggestions
dc.identifierhttps://arxiv.org/abs/math/0210145
dc.identifierhttp://arxiv.org/abs/math/0210145
dc.identifierMath. Ann. 328, 425-450 (2004)
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/65237
dc.subjectAlgebraic Geometry
dc.subjectCommutative Algebra
dc.subject14B15; 13N10
dc.titleThe intersection homology D-module in finite characteristic
dc.typetext

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