arXiv subjects

Simon J. Wadsley

Publications and source records attributed to Simon J. Wadsley.

2 recordsLinked to original sources

arXiv2024

Equivariant line bundles with connection on the p-adic upper half plane

Let $F$ be a finite extension of $\mathbb{Q}_p$, let $Ω_F$ be Drinfeld's upper half-plane over $F$ and let $G^0$ the subgroup of $GL_2(F)$ consisting of elements whose determinant has norm $1$. By working locally on $Ω_F$, we construct and classify the torsion $G^0$-equivariant line bundles with integrable connection on $Ω$ in terms of the smooth linear characters of the units of the maximal order of the quaternion algebra over $F$.

math.NT↗

arXiv2017

D-modules on rigid analytic spaces II: Kashiwara's equivalence

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 construct a large family of pairwise non-isomorphic simple coadmissible D-cap-modules.

math.NT↗