Derived deformations of schemes

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We introduce a new approach to constructing derived deformation groupoids, by considering them as parameter spaces for strong homotopy bialgebras. This allows them to be constructed for all classical deformation problems, such as deformations of an arbitrary scheme, in any characteristic. We also give a general approach for studying deformations of diagrams.
Original languageEnglish
Pages (from-to)529-563
Number of pages35
JournalCommunications in Analysis and Geometry
Issue number3
Publication statusPublished - 1 Jul 2012


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