D-modules in birational geometry
Algebraic Geometry
2018-10-12 v2
Abstract
It is well known that numerical quantities arising from the theory of D-modules are related to invariants of singularities in birational geometry. This paper surveys a deeper relationship between the two areas, where the numerical connections are enhanced to sheaf theoretic constructions facilitated by the theory of mixed Hodge modules. The emphasis is placed on the recent theory of Hodge ideals.
Keywords
Cite
@article{arxiv.1807.02375,
title = {D-modules in birational geometry},
author = {Mihnea Popa},
journal= {arXiv preprint arXiv:1807.02375},
year = {2018}
}
Comments
21 pages; in the Proceedings of the ICM, Rio de Janeiro, 2018; v2 contains a few corrections and additional results compared to the published version