Formulas for multiplier ideals on singular varieties

By S. Takagi. 2004

65 citations recorded by the source corpus.

We prove a generalization of Demailly-Ein-Lazarsfeld's subadditivity formula and Mustaţǎ's summation formula for multiplier ideals to the case of singular varieties, using characteristic p methods. As an application of our formula, we improve Hochster-Huneke's result on the growth of symbolic powers of ideals in singular affine algebras.

Subfields: Algebra and Number Theory, Computational Theory and Mathematics, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/2fbd63497960e39cacc6bda92aa523dab30617ec

How researchers see this paper

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In Algebra and Number Theory

1. Karl Schwede
2. Manuel Blickle
3. Wenliang Zhang
4. S. Takagi
5. Kevin Tucker
6. M. Mustaţă
7. Karen E. Smith
8. Christopher D. Hacon

In Computational Theory and Mathematics

1. Karl Schwede
2. Manuel Blickle
3. Wenliang Zhang
4. S. Takagi
5. Kevin Tucker
6. Christopher D. Hacon
7. Karen E. Smith
8. M. Mustaţă

In Geometry and Topology

1. Karl Schwede
2. Manuel Blickle
3. Wenliang Zhang
4. S. Takagi
5. Kevin Tucker
6. M. Mustaţă
7. Karen E. Smith
8. S'andor J. Kov'acs

Citations in the corpus

• Discreteness and rationality of F-jumping numbers on singular varieties (2009, background): “s of a, see [ELSV04], [Sai07], [BMS06], [Tuc08]. In characteristic p>0, the test ideal τ(X,at) is an analog of the multiplier ideal which enjoys many similar properties (see for example [HY03] and [Tak06]), but also differs in some key ways (see [MY09]). Test ideals are rooted in the theory of tig”