Work

Six operations for $${\mathop {\mathcal {D}}\limits ^{\frown }}$$-modules on rigid analytic spaces

Year: 2026

Type: article

Abstract: We introduce all six operations for "Equation missing" -modules on smooth rigid analytic spaces by considering the derived category of complete bornological "Equation missing" -modules. We then focus on a full subcategory which should be thought of as consisting of complexes with coadmissible cohomology, and establish analogues of some classical results: Kashiwara’s equivalence, stability of coadmissibility under extraordinary inverse image for smooth morphisms and direct image for projective morphisms, as well as the computation of relative de Rham cohomology.

Source: Selecta Mathematica

DOI: 10.1007/s00029-026-01138-w

Author: Andreas Bode

Institution: University of Wuppertal

Language: English

Topic: Algebraic Geometry and Number Theory

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,190

Funder: Bergische Universität Wuppertal