Hodge ideals
Algebraic Geometry
2017-01-18 v4 Complex Variables
Abstract
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.
Keywords
Cite
@article{arxiv.1605.08088,
title = {Hodge ideals},
author = {Mircea Mustata and Mihnea Popa},
journal= {arXiv preprint arXiv:1605.08088},
year = {2017}
}
Comments
85 pages; v2: minor expository improvements; fixed the statement of Theorem 31.1, and some consequences; moved one result to a new article; v.3: reference added and small expository changes; v.4: new references added, a few further corrections and expository improvements