2017/03/27 by Luisa Fiorot, Fiorot, Luisa, Térésa Monteiro Fernandes +1
Mathematics · #Advanced Algebra and Geometry #Advanced Topics in Algebra #Algebraic Geometry (math.AG) #Algebraic structures and combinatorial models #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology
paper · pdf · doi:10.48550/arxiv.1703.09319
openalex publication_date 2017/03/27 · openalex created_date 2022/09/10 · openalex updated_date 2026/07/28
This paper is a contribution to the study of relative holonomic\n\D-modules. Contrary to the absolute case, the standard\nt-structure on holonomic \D-modules is not preserved by duality\nand hence the solution functor is no longer t-exact with respect to the\ncanonical, resp. middle-perverse, t-structures. We provide an explicit\ndescription of these dual t-structures. When the parameter space is\n1-dimensional, we use this description to prove that the solution functor as\nwell as the relative Riemann-Hilbert functor are t-exact with respect to the\ndual t-structure and to the middle-perverse one while the de Rham functor is\nt-exact for the canonical, resp. middle-perverse, t-structures and their\nduals.\n