Derived Categories of Hyper-Kähler Manifolds via the LLV Algebra-Reference-Cited by-同舟云学术

Derived Categories of Hyper-Kähler Manifolds via the LLV Algebra

Published:2022-06-21 Issue:2 Volume:90 Page:445-458
ISSN:1424-9286
Container-title:Milan Journal of Mathematics
language:en
Short-container-title:Milan J. Math.

Author:

Beckmann T.

Abstract

AbstractWe mostly review work of Taelman (Derived equivalences of hyperkähler varieties, 2019, arXiv:1906.08081) on derived categories of hyper-Kähler manifolds. We study the LLV algebra using polyvector fields to prove that it is a derived invariant. Applications to the action of derived equivalences on cohomology and to the study of their Hodge structures are given.

Funder

European Research Council

Max-Planck-Gesellschaft

Publisher

Springer Science and Business Media LLC

Subject

General Mathematics

Link

https://link.springer.com/content/pdf/10.1007/s00032-022-00358-x.pdf

Reference14 articles.

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1. The Looijenga–Lunts–Verbitsky Algebra and Verbitsky’s Theorem;Milan Journal of Mathematics;2022-10-03

2. Derived Categories of Hyper-Kähler Manifolds via the LLV Algebra;Milan Journal of Mathematics;2022-06-21