Adjoint ideals along closed subvarieties of higher codimension

2007/11/15 by Shunsuke Takagi, Takagi, Shunsuke · 1 citation
Mathematics · Computer Science · #Commutative Algebra and Its Applications #Algebraic Geometry and Number Theory #Polynomial and algebraic computation

paper · pdf · doi:10.48550/arxiv.0711.2342

Abstract

In 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 D_X of X. The proof relies on a modification of generalized test ideals of Hara and Yoshida.

Cited by

• Generalizations of the restriction theorem for multiplier ideals

Related

• On the behavior of adjoint ideals under pure morphisms
• Higher direct images of snc ideal sheaves
• Adjoints of ideals in regular local rings
• Toric plurisubharmonic functions and analytic adjoint ideal sheaves
• An application of adjoint ideal sheaves to injectivity and extension theorems