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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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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autores principales: Mustata, Mircea, 1971- (Autor), Popa, Mihnea, 1973- (Autor)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Providence : American Mathematical Society, [2019]
Colección:Memoirs of the American Mathematical Society ; no. 1268.
Temas:
Acceso en línea:Texto completo
Tabla de Contenidos:
  • 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