Perfect obstruction theory
id:
perfect-obstruction-theory-235-17630010
title:
Perfect obstruction theory
text:
In algebraic geometry, given a Deligne–Mumford stack X, a perfect obstruction theory for X consists of: a perfect two-term complex E = [ E − 1 → E 0 ] in the derived category D of quasi-coherent étale sheaves on X, and
a morphism φ : E → L X , where L X is the cotangent complex of X, that induces an isomorphism on h 0 and an epimorphism on h − 1 . The notion was introduced by Kai Behrend and Barbara Fantechi (1997) for an application to the intersection theory on moduli stacks; in particular, to
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https://en.wikipedia.org/wiki/Perfect_obstruction_theory
date created:
date modified:
2023-05-04T21:32:46Z
main entity:
{"identifier":"Q42400416","url":"https://www.wikidata.org/entity/Q42400416"}
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