Adjoint ideals along closed subvarieties of higher codimension

Simple item page
dc.creatorTakagi, Shunsuke
dc.date2007-11-15
dc.date2008-12-17
dc.date.accessioned2026-07-07T12:13:13Z
dc.date.available2026-07-07T12:13:13Z
dc.descriptionIn this paper, we introduce a notion of adjoint ideal sheaves along closed subvarieties of higher codimension and study its local properties using characteristic $p$ methods. When $X$ is a normal Gorenstein closed subvariety of a smooth complex variety $A$, we formulate a restriction property of the adjoint ideal sheaf $\adj_X(A)$ of $A$ along $X$ involving the l.c.i. ideal sheaf $\mathcal{D}_X$ of $X$. The proof relies on a modification of generalized test ideals of Hara and Yoshida.
dc.description17 pages; v.2: minor changes, to appear in Crelles Journal
dc.identifierhttps://arxiv.org/abs/0711.2342
dc.identifierhttp://arxiv.org/abs/0711.2342
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/210771
dc.subjectAlgebraic Geometry
dc.subjectCommutative Algebra
dc.subject13A35; 14B05
dc.titleAdjoint ideals along closed subvarieties of higher codimension
dc.typetext

Files

Collections

arXiv