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Localizing virtual structure sheaves by cosections

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arxiv 1705.09458 v2 pith:6Y6WUOIZ submitted 2017-05-26 math.AG

Localizing virtual structure sheaves by cosections

classification math.AG
keywords cosectionobstructionsheafstructurevirtualconstructcosectionsdeligne-mumford
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We construct a cosection localized virtual structure sheaf when a Deligne-Mumford stack is equipped with a perfect obstruction theory and a cosection of the obstruction sheaf.

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