Hodge ideals /

We use methods from birational geometry to study M. Saito's Hodge filtration on the localization along a hypersurface. This filtration leads to a sequence of ideal sheaves, called Hodge ideals, the first of which is a multiplier ideal. We analyze their local and global properties, and use them...

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Bibliographic Details
Call Number:Libro Electrónico
Main Authors: Mustata, Mircea, 1971- (Author), Popa, Mihnea, 1973- (Author)
Format: Electronic eBook
Language:Inglés
Published: Providence : American Mathematical Society, [2019]
Series:Memoirs of the American Mathematical Society ; no. 1268.
Subjects:
Hodge theory.
Geometry, Algebraic.
Théorie de Hodge.
Géométrie algébrique.
Geometría algebraica
Hodge, Teoría de
Geometry, Algebraic
Hodge theory
Online Access:Texto completo
Table of Contents:
  • Chapter 1. Introduction Chapter 2. Preliminaries Chapter 3. Saito's Hodge filtration and Hodge modules Chapter 4. Birational definition of Hodge ideals Chapter 5. Basic properties of Hodge ideals Chapter 6. Local study of Hodge ideals Chapter 7. Vanishing theorems Chapter 8. Vanishing on \PPn and abelian varieties, with applications Appendix: Higher direct imagesof forms with log poles References

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