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.
| ISBN: | 9781470437817 |
| Publication date: | 30th June 2020 |
| Author: | Mircea Mustata, Mihnea Popa |
| Publisher: | American Mathematical Society |
| Format: | Paperback |
| Pagination: | 78 pages |
| Series: | Memoirs of the American Mathematical Society |
| Genres: |
Algebraic geometry Algebra |