Derived Moduli of Complexes and Derived Grassmannians
| Autor: | Carmelo Di Natale |
|---|---|
| Rok vydání: | 2016 |
| Předmět: |
Pure mathematics
Ring (mathematics) Algebra and Number Theory General Computer Science Model category Flag (linear algebra) 010102 general mathematics Structure (category theory) Mathematics - Category Theory 01 natural sciences Theoretical Computer Science Moduli Algebra Mathematics - Algebraic Geometry Scheme (mathematics) Grassmannian 0103 physical sciences FOS: Mathematics Derived stack Category Theory (math.CT) 010307 mathematical physics 0101 mathematics Algebraic Geometry (math.AG) Computer Science(all) Mathematics |
| Zdroj: | Applied Categorical Structures. 25:809-861 |
| ISSN: | 1572-9095 0927-2852 |
| DOI: | 10.1007/s10485-016-9439-x |
| Popis: | In the first part of this paper we construct a model structure for the category of filtered cochain complexes of modules over some commutative ring $R$ and explain how the classical Rees construction relates this to the usual projective model structure over cochain complexes. The second part of the paper is devoted to the study of derived moduli of sheaves: we give a new proof of the representability of the derived stack of perfect complexes over a proper scheme and then use the new model structure for filtered complexes to tackle moduli of filtered derived modules. As an application, we construct derived versions of Grassmannians and flag varieties. 54 pages, Section 2.4 significantly extended, minor corrections to the rest of the paper |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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