Derived moduli of schemes and sheaves

Mathematics – Algebraic Geometry

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31 pages; v2 polarised abelian varieties corrected (Remark 3.46); v3 final version, to appear in JKT; v4 running typo (local -

Scientific paper

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.

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