Twisted sheaf

id: twisted-sheaf-265-13107578
title: Twisted sheaf
text: In mathematics, a twisted sheaf is a variant of a coherent sheaf. Precisely, it is specified by: an open covering in the étale topology Ui, coherent sheaves Fi over Ui, a Čech 2-cocycle θ for G m on the covering Ui as well as the isomorphisms satisfying g i i = id F i , g i j = g j i − 1 , g i j ∘ g j k ∘ g k i = θ i j k id F i . The notion of twisted sheaves was introduced by Jean Giraud. The above definition due to Căldăraru is down-to-earth but is equivalent to a more sophisticated definition
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category slug: encyclopedia
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original url: https://en.wikipedia.org/wiki/Twisted_sheaf
date created:
date modified: 2023-10-06T15:49:58Z
main entity: {"identifier":"Q28458060","url":"https://www.wikidata.org/entity/Q28458060"}
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fields total: 13
integrity: 13

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