D-modules in birational geometry

Mihnea Popa*

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingConference contribution

1 Scopus citations

Abstract

It is well known that numerical quantities arising from the theory of D-modulesare related to invariants of singularities in birational geometry. This paper surveysa deeper relationship between the two areas, where the numerical connections areenhanced to sheaf theoretic constructions facilitated by the theory of mixed Hodgemodules. The emphasis is placed on the recent theory of Hodge ideals.

Original languageEnglish (US)
Title of host publicationInvited Lectures
EditorsBoyan Sirakov, Paulo Ney de Souza, Marcelo Viana
PublisherWorld Scientific Publishing Co. Pte Ltd
Pages799-824
Number of pages26
ISBN (Electronic)9789813272910
StatePublished - 2018
Event2018 International Congress of Mathematicians, ICM 2018 - Rio de Janeiro, Brazil
Duration: Aug 1 2018Aug 9 2018

Publication series

NameProceedings of the International Congress of Mathematicians, ICM 2018
Volume2

Conference

Conference2018 International Congress of Mathematicians, ICM 2018
CountryBrazil
CityRio de Janeiro
Period8/1/188/9/18

ASJC Scopus subject areas

  • Mathematics(all)

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  • Cite this

    Popa, M. (2018). D-modules in birational geometry. In B. Sirakov, P. N. de Souza, & M. Viana (Eds.), Invited Lectures (pp. 799-824). (Proceedings of the International Congress of Mathematicians, ICM 2018; Vol. 2). World Scientific Publishing Co. Pte Ltd.