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Adjoint ideals along closed subvarieties of higher codimension
Published/Copyright:
January 20, 2010
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 adjX(A) of A along X involving the l.c.i. ideal sheaf 𝒟X of X. The proof relies on a modification of generalized test ideals of Hara and Yoshida [Trans. Amer. Math. Soc. 355: 3143–3174, 2003].
Received: 2007-11-23
Revised: 2008-12-14
Published Online: 2010-01-20
Published in Print: 2010-April
© Walter de Gruyter Berlin · New York 2010
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Articles in the same Issue
- The Dirac operator on compact quantum groups
- Pair correlation of sums of rationals with bounded height
- Existence and uniqueness of constant mean curvature foliation of asymptotically hyperbolic 3-manifolds II
- Crossed products by minimal homeomorphisms
- On the facial structure of the unit ball in a JB*-triple
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- On surfaces of general type with maximal Albanese dimension
- A basic set for the alternating group
- The twisted fourth moment of the Riemann zeta function
