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Derived moduli of schemes and sheaves

Published online by Cambridge University Press:  08 December 2011

J.P. Pridham
J.P. Pridham*
Affiliation:
Department of Pure Mathematics and Mathematical Statistics, Centre for Mathematical Sciences, University of Cambridge, Wilberforce Road, Cambridge, CB3 0WB, U.K.J.P.Pridham@dpmms.cam.ac.uk
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Abstract

We describe derived moduli functors for a range of problems involving schemes and quasi-coherent sheaves, and give cohomological conditions for them to be representable by derived geometric n-stacks. Examples of problems represented by derived geometric 1-stacks are derived moduli of polarised projective varieties, derived moduli of vector bundles, and derived moduli of abelian varieties.

Keywords

Derived moduli
Type
Research Article
Information
Journal of K-Theory , Volume 10 , Issue 1 , August 2012 , pp. 41 - 85
Copyright
Copyright © ISOPP 2011

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