Zobrazeno 1 - 10
of 17
pro vyhledávání: '"14G22, 32C38"'
Autor:
Rączka, Feliks
We study the category of holonomic $\mathscr{D}_{X}$-modules for a quasi-compact, quasi-separated, smooth rigid analytic variety $X$ over the field $\mathbb{C}(\!(t)\!)$. In particular, we prove finiteness of the de Rham cohomology for such modules.<
Externí odkaz:
http://arxiv.org/abs/2405.03028
Autor:
Rączka, Feliks
We study the category of modules of minimal dimension over completed Weyl algebras in equal characteristic zero. In particular we prove finiteness of de Rham cohomology of such modules.
Comment: 11 pages, comments welcome
Comment: 11 pages, comments welcome
Externí odkaz:
http://arxiv.org/abs/2402.04683
Autor:
Schmidt, Tobias, Vu, Thi Minh Phuong
Let G be a $p$-adic Lie group. We develop a dimension theory for coadmissible G-equivariant $\mathcal{D}$-modules on smooth rigid analytic spaces. We introduce the category of weakly holonomic G-equivariant $\mathcal{D}$-modules, study its duality an
Externí odkaz:
http://arxiv.org/abs/2011.10019
Autor:
Ardakov, Konstantin
We prove an Induction Equivalence and a Kashiwara Equivalence for coadmissible equivariant D-modules on rigid analytic spaces. This allows us to completely classify such objects with support in a single orbit of a classical point with co-compact stab
Externí odkaz:
http://arxiv.org/abs/2009.02981
We develop a dimension theory for coadmissible D-cap-modules on rigid analytic spaces and study those which are of minimal dimension, in analogy to the theory of holonomic D-modules in the algebraic setting. We discuss a number of pathologies contain
Externí odkaz:
http://arxiv.org/abs/1904.13280
Autor:
Ardakov, Konstantin
We define coadmissible equivariant $\mathcal{D}$-modules on smooth rigid analytic spaces and relate them to admissible locally analytic representations of semisimple $p$-adic Lie groups.
Externí odkaz:
http://arxiv.org/abs/1708.07475
Autor:
Ardakov, Konstantin, Ben-Bassat, Oren
Let $K$ be a field of characteristic zero complete with respect to a non-trivial, non-Archimedean valuation. We relate the sheaf $\widehat{\mathcal{D}}$ of infinite order differential operators on smooth rigid $K$-analytic spaces to the algebra $\mat
Externí odkaz:
http://arxiv.org/abs/1612.01924
Autor:
Ardakov, Konstantin, Wadsley, Simon J.
We prove that the category of coadmissible D-cap-modules on a smooth rigid analytic space supported on a closed smooth subvariety is naturally equivalent to the category of coadmissible D-cap-modules on the subvariety, and use this result to construc
Externí odkaz:
http://arxiv.org/abs/1502.01273
Autor:
Ardakov, Konstantin, Wadsley, Simon
We introduce a sheaf of infinite order differential operators D-cap on smooth rigid analytic spaces that is a rigid analytic quantisation of the cotangent bundle. We show that the sections of this sheaf over sufficiently small affinoid varieties are
Externí odkaz:
http://arxiv.org/abs/1501.02215
Autor:
Ardakov, K
We prove an Induction Equivalence and a Kashiwara Equivalence for coadmissible equivariant D \mathcal {D} -modules on rigid analytic spaces. This allows us to completely classify such objects with support in a single orbit of a classical point with c
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::66daa234c6b555b3c06ca1353fa19510