Equivalences of twisted K3 surfaces
type: Item
instance of: scholarly article
title: Equivalences of twisted K3 surfaces
zbMATH Open document ID: 1092.14047
author: Daniel Huybrechts
author: Paolo Stellari
published in: Mathematische Annalen
publication date: 2005-08-17T00:00:00Z
full work available at URL: https://arxiv.org/abs/math/0409030
review text: From the abstract: We prove that two derived equivalent twisted \(K3\) surfaces have isomorphic periods. The converse is shown for \(K3\) surfaces with large Picard number. It is also shown that all possible twisted derived equivalences between arbitrary twisted \(K3\) surfaces form a subgroup of the group of all orthogonal transformations of the cohomology of a \(K3\) surface. The passage from twisted derived equivalences to an action on the cohomology is made possible by twisted Chern characters that will be introduced for arbitrary smooth projective varieties.
Mathematics Subject Classification ID: 14J28
Mathematics Subject Classification ID: 14J60
zbMATH DE Number: 2194930
zbMATH Keywords: twisted derived equivalences
zbMATH Keywords: \(K3\) surfaces
zbMATH Keywords: twisted Hodge isometries
reviewed by: Carlo Giovanni Madonna
MaRDI profile type: Publication
OpenAlex ID: W2064847051
arXiv ID: math/0409030
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DOI: 10.1007/S00208-005-0662-2
description: scientific article