t-structures for relative D-modules and t-exactness of the de Rham functor
| Autor: | Teresa Monteiro Fernandes, Luisa Fiorot |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2018 |
| Předmět: |
Pure mathematics
Algebra and Number Theory Functor Direct image functor Holonomic relative D-modules 010102 general mathematics Mathematical analysis Duality (mathematics) Cone (category theory) t-structure Mathematics::Algebraic Topology 01 natural sciences De Rham functor Mathematics::K-Theory and Homology Mathematics::Category Theory 0103 physical sciences relative D-modules De Rham functor t-structure Dual polyhedron 010307 mathematical physics 0101 mathematics Exact functor Inverse image functor Mathematics |
| Popis: | This paper is a contribution to the study of relative holonomic D -modules. Contrary to the absolute case, the standard t -structure on holonomic D -modules is not preserved by duality and hence the solution functor is no longer t -exact with respect to the canonical, resp. middle-perverse, t -structure. We provide an explicit description of these dual t -structures. We use this description to prove that the solution functor as well as the relative Riemann–Hilbert functor are t -exact with respect to the dual t -structure and to the middle-perverse one while the de Rham functor is t -exact for the canonical, resp. middle-perverse, t -structure and their duals. |
| Databáze: | OpenAIRE |
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