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pro vyhledávání: '"Xu, Daxin"'
Autor:
Heuer, Ben, Xu, Daxin
For a smooth projective curve $X$ over $\mathbb C_p$ and any reductive group $G$, we show that the moduli stack of $G$-Higgs bundles on $X$ is a twist of the moduli stack of v-topological $G$-bundles on $X_v$ in a canonical way. We explain how a choi
Externí odkaz:
http://arxiv.org/abs/2402.01365
Autor:
Qin, Yichen, Xu, Daxin
Fedorov and Sabbah--Yu calculated the (irregular) Hodge numbers of hypergeometric connections. In this paper, we study the irregular Hodge filtrations on hypergeometric connections defined by rational parameters, and provide a new proof of the aforem
Externí odkaz:
http://arxiv.org/abs/2308.05138
Autor:
Kedlaya, Kiran S., Xu, Daxin
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 step towards transferring V. Lafforgue's work on the Langlands corresp
Externí odkaz:
http://arxiv.org/abs/2210.14872
In a previous paper, the first and third authors gave an explicit realization of the geometric Langlands correspondence for hypergeometric sheaves, considered as $\textrm{GL}_n$-local systems. Certain hypergeometric local systems admit a symplectic o
Externí odkaz:
http://arxiv.org/abs/2201.08063
Autor:
Xu, Daxin
Faltings conjectured that under the p-adic Simpson correspondence, finite dimensional p-adic representations of the geometric \'etale fundamental group of a smooth proper p-adic curve X are equivalent to semi-stable Higgs bundles of degree zero over
Externí odkaz:
http://arxiv.org/abs/2201.06697
Autor:
Xu, Daxin, Zhu, Xinwen
We construct the Frobenius structure on a rigid connection $\mathrm{Be}_{\check{G}}$ on $\mathbb{G}_m$ for a split reductive group $\check{G}$ introduced by Frenkel-Gross. These data form a $\check{G}$-valued overconvergent $F$-isocrystal $\mathrm{Be
Externí odkaz:
http://arxiv.org/abs/1910.13391
Autor:
Xu, Daxin
Publikováno v:
Compositio Math. 155 (2019) 2180-2213
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 variety over k relative to W. This proof allows us to deduce an analogue
Externí odkaz:
http://arxiv.org/abs/1802.09060
Autor:
Xu, Daxin
Publikováno v:
M\'emoires de la Soci\'et\'e Math\'ematique de France 163 (2019)
Let $W$ be the ring of the Witt vectors of a perfect field of characteristic $p$, $\mathfrak{X}$ a smooth formal scheme over $W$, $\mathfrak{X}'$ the base change of $\mathfrak{X}$ by the Frobenius morphism of $W$, $\mathfrak{X}_{2}'$ the reduction mo
Externí odkaz:
http://arxiv.org/abs/1705.06241
Autor:
Xu, Daxin
Publikováno v:
Forum of Mathematics, Sigma (2017), Vol. 5, e13
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 representations of the topological fundamental group for a complex smooth proper
Externí odkaz:
http://arxiv.org/abs/1601.00885
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