Hodge Ideals
We use methods from birational geometry to study the 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 applicat...
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| Main Authors: | , |
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| Format: | eBook Book |
| Language: | English |
| Published: |
Providence, Rhode Island
American Mathematical Society
2019
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| Edition: | 1 |
| Series: | Memoirs of the American Mathematical Society |
| Subjects: | |
| ISBN: | 1470437813, 9781470437817 |
| ISSN: | 0065-9266, 1947-6221 |
| Online Access: | Get full text |
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| Summary: | We use methods from birational geometry to study the 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. |
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| Bibliography: | Includes bibliographical reference (p. 79-80) November 2019, volume 262, number 1268 (fifth of 7 numbers) |
| ISBN: | 1470437813 9781470437817 |
| ISSN: | 0065-9266 1947-6221 |
| DOI: | 10.1090/memo/1268 |