Weighted Hodge ideals of reduced divisors
Algebraic Geometry
2023-05-18 v2
Abstract
We study the Hodge and weight filtrations on the localization along a hypersurface, using methods from birational geometry and the -filtration induced by a local defining equation. These filtrations give rise to ideal sheaves called weighted Hodge ideals, which include the adjoint ideal and a multiplier ideal. We analyze their local and global properties, from which we deduce applications related to singularities of hypersurfaces of smooth varieties.
Keywords
Cite
@article{arxiv.2208.03271,
title = {Weighted Hodge ideals of reduced divisors},
author = {Sebastian Olano},
journal= {arXiv preprint arXiv:2208.03271},
year = {2023}
}
Comments
v2: improved exposition, fixed typos, added Remark 5.5, to appear in Forum of Mathematics, Sigma