Open Access\wideparen{𝒟}-modules on rigid analytic spaces II: Kashiwara’s equivalence
Author(s) -
Константин Ардаков,
Simon Wadsley
Publication year - 2018
Publication title -
journal of algebraic geometry
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.824
H-Index - 50
eISSN - 1534-7486
pISSN - 1056-3911
DOI - 10.1090/jag/709
Subject(s) - type (biology) , annotation , algorithm , mathematics , equivalence (formal languages) , algebra over a field , discrete mathematics , computer science , artificial intelligence , pure mathematics , biology , ecology
Let X X be a smooth rigid analytic space. We prove that the category of co-admissible \wideparen {\mathcal {D}_X} -modules supported on a closed smooth subvariety Y Y of X X is naturally equivalent to the category of co-admissible \wideparen {\mathcal {D}_Y} -modules and use this result to construct a large family of pairwise non-isomorphic simple co-admissible \wideparen {\mathcal {D}_X} -modules.