Hodge ideals / Mircea Mustaţă, Mihnea Popa.

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
Main Authors: Mustata, Mircea, 1971- (Author), Popa, Mihnea, 1973- (Author)
Format: eBook
Language:English
Published: Providence : American Mathematical Society, [2019]
Series:Memoirs of the American Mathematical Society ; no. 1268.
Subjects:
Online Access:Click for online access

MARC

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100 1 |a Mustata, Mircea,  |d 1971-  |e author.  |1 https://id.oclc.org/worldcat/entity/E39PBJptXMmcVgqY4dCjghVV4q 
245 1 0 |a Hodge ideals /  |c Mircea Mustaţă, Mihnea Popa. 
264 1 |a Providence :  |b American Mathematical Society,  |c [2019] 
264 4 |c ©2019 
300 |a 1 online resource (v, 80 pages) :  |b illustrations 
336 |a text  |b txt  |2 rdacontent 
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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 
650 0 |a Hodge theory. 
650 0 |a Geometry, Algebraic. 
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 
700 1 |a Popa, Mihnea,  |d 1973-  |e author.  |1 https://id.oclc.org/worldcat/entity/E39PBJrgPkCc7PJtWb9868fH4q 
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776 0 8 |i Print version: Mustata, Mircea, 1971-  |t Hodge ideals.  |d Providence, RI : American Mathematical Society, 2019  |z 9781470437817  |w (DLC) 2020023528  |w (OCoLC)1164820605 
830 0 |a Memoirs of the American Mathematical Society ;  |v no. 1268. 
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