12 citations · 31 across the 7 of their papers we have counts for
8 papers
Irregular Hodge filtration of hypergeometric differential equations
Yichen Qin, Daxin Xu
Fedorov and Sabbah--Yu calculated the (irregular) Hodge numbers of hypergeometric connections. In this paper, we study the irregular Hodge filtrations on hypergeometric connections…
Drinfeld's lemma for -isocrystals, II: Tannakian approach
Kiran S. Kedlaya, Daxin Xu
We prove a Tannakian form of Drinfeld's lemma for isocrystals on a variety over a finite field, equipped with actions of partial Frobenius operators. This provides an intermediate…
Hypergeometric sheaves for classical groups via geometric Langlands
Masoud Kamgarpour, Daxin Xu, Lingfei Yi
In a previous paper, the first and third authors gave an explicit realization of the geometric Langlands correspondence for hypergeometric sheaves, considered as -lo…
Parallel transport for Higgs bundles over p-adic curves
Daxin Xu
Faltings conjectured that under the p-adic Simpson correspondence, finite dimensional p-adic representations of the geometric étale fundamental group of a smooth proper p-adic curv…
Bessel -isocrystals for reductive groups
Daxin Xu, Xinwen Zhu
We construct the Frobenius structure on a rigid connection on for a split reductive group introduced by Frenkel-Gross. These da…
On higher direct images of convergent isocrystals
Daxin Xu
Let k be a perfect field of characteristic p>0 and W the ring of Witt vectors of k. In this article, we give a new proof of the Frobenius descent for convergent isocrystals on a va…
Lifting the Cartier transform of Ogus-Vologodsky modulo
Daxin Xu
Let be the ring of the Witt vectors of a perfect field of characteristic , a smooth formal scheme over , the base change of …
Parallel transport and the p-adic Simpson correspondence
Daxin Xu
Deninger and Werner developed an analogue for p-adic curves of the classical correspondence of Narasimhan and Seshadri between stable bundles of degree zero and unitary representat…