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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

MARC

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245 1 0 |a Hodge ideals /  |c Mircea Mustaţă, Mihnea Popa. 
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264 4 |c ©2019 
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490 1 |a Memoirs of the American Mathematical Society,  |x 0065-9266 ;  |v number 1268 
500 |a "November 2019; Volume 262; number 1268 (fifth of 7 numbers)"--Cover 
520 3 |a 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 for applications related to the singularities and Hodge theory of hypersurfaces and their complements. 
504 |a Includes bibliographical references (page 111) 
588 0 |a Description based on print version record. 
505 0 0 |g Chapter 1.  |g Introduction  |g Chapter 2.  |g Preliminaries  |g Chapter 3.  |t Saito's Hodge filtration and Hodge modules  |g Chapter 4.  |t Birational definition of Hodge ideals  |g Chapter 5.  |t Basic properties of Hodge ideals  |g Chapter 6.  |t Local study of Hodge ideals  |g Chapter 7.  |t Vanishing theorems  |g Chapter 8.  |t Vanishing on \PPn and abelian varieties, with applications  |g Appendix:  |t Higher direct imagesof forms with log poles  |g References 
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650 0 |a Hodge theory. 
650 0 |a Geometry, Algebraic. 
650 6 |a Théorie de Hodge. 
650 6 |a Géométrie algébrique. 
650 7 |a Geometría algebraica  |2 embne 
650 0 7 |a Hodge, Teoría de  |2 embucm 
650 7 |a Geometry, Algebraic  |2 fast 
650 7 |a Hodge theory  |2 fast 
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830 0 |a Memoirs of the American Mathematical Society ;  |v no. 1268. 
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