Hodge Ideals

Download or read book Hodge Ideals written by Mircea Mustaţă and published by American Mathematical Soc.. This book was released on 2020-02-13 with total page 78 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.