The global moduli theory of symplectic varieties-Reference-Cited by-同舟云学术

The global moduli theory of symplectic varieties

Published:2022-07-29 Issue:790 Volume:2022 Page:223-265
ISSN:0075-4102
Container-title:Journal für die reine und angewandte Mathematik (Crelles Journal)
language:en
Short-container-title:

Author:

Bakker Benjamin¹,Lehn Christian²^ORCID

Affiliation:

1. Department of Mathematics , University of Illinois at Chicago , 851 S. Morgan St. , Chicago , IL 60607 , USA

2. Fakultät für Mathematik , Technische Universität Chemnitz , Reichenhainer Straße 39, 09126 Chemnitz , Germany

Abstract

Abstract We develop the global moduli theory of symplectic varieties in the sense of Beauville. We prove a number of analogs of classical results from the smooth case, including a global Torelli theorem. In particular, this yields a new proof of Verbitsky’s global Torelli theorem in the smooth case (assuming b 2 ≥ 5

{b_{2}\geq 5}

) which does not use the existence of a hyperkähler metric or twistor deformations.

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,General Mathematics

Link

https://www.degruyter.com/document/doi/10.1515/crelle-2022-0033/pdf

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