Derived moduli of schemes and sheaves

Derived moduli of schemes and sheaves
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DOI:
10.1017/is011011012jkt175
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发表时间:
2010-11
期刊:
arXiv: Algebraic Geometry
影响因子:
--
通讯作者:
J. Pridham
J. Pridham
中科院分区:
其他
文献类型:
--
作者:
J. Pridham

文献摘要

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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.