| Softcover ISBN: | 978-1-4704-3781-7 |
| Product Code: | MEMO/262/1268 |
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| AMS Member Price: | $48.60 |
| eBook ISBN: | 978-1-4704-5509-5 |
| Product Code: | MEMO/262/1268.E |
| List Price: | $81.00 |
| MAA Member Price: | $72.90 |
| AMS Member Price: | $48.60 |
| Softcover ISBN: | 978-1-4704-3781-7 |
| eBook: ISBN: | 978-1-4704-5509-5 |
| Product Code: | MEMO/262/1268.B |
| List Price: | $162.00 $121.50 |
| MAA Member Price: | $145.80 $109.35 |
| AMS Member Price: | $97.20 $72.90 |
| Softcover ISBN: | 978-1-4704-3781-7 |
| Product Code: | MEMO/262/1268 |
| List Price: | $81.00 |
| MAA Member Price: | $72.90 |
| AMS Member Price: | $48.60 |
| eBook ISBN: | 978-1-4704-5509-5 |
| Product Code: | MEMO/262/1268.E |
| List Price: | $81.00 |
| MAA Member Price: | $72.90 |
| AMS Member Price: | $48.60 |
| Softcover ISBN: | 978-1-4704-3781-7 |
| eBook ISBN: | 978-1-4704-5509-5 |
| Product Code: | MEMO/262/1268.B |
| List Price: | $162.00 $121.50 |
| MAA Member Price: | $145.80 $109.35 |
| AMS Member Price: | $97.20 $72.90 |
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Book DetailsMemoirs of the American Mathematical SocietyVolume: 262; 2019; 78 ppMSC: Primary 14; 32
The authors 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. They 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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Table of Contents
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Chapters
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1. Introduction
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2. Preliminaries
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3. Saito’s Hodge filtration and Hodge modules
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4. Birational definition of Hodge ideals
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5. Basic properties of Hodge ideals
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6. Local study of Hodge ideals
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7. Vanishing theorems
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8. Vanishing on ${\mathbf P}^n$ and abelian varieties,with applications
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Appendix: Higher direct imagesof forms with log poles
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References
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Additional Material
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The authors 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. They analyze their local and global properties, and use them for applications related to the singularities and Hodge theory of hypersurfaces and their complements.
-
Chapters
-
1. Introduction
-
2. Preliminaries
-
3. Saito’s Hodge filtration and Hodge modules
-
4. Birational definition of Hodge ideals
-
5. Basic properties of Hodge ideals
-
6. Local study of Hodge ideals
-
7. Vanishing theorems
-
8. Vanishing on ${\mathbf P}^n$ and abelian varieties,with applications
-
Appendix: Higher direct imagesof forms with log poles
-
References
