43 citations · 202 across the 24 of their papers we have counts for
5 papers · 1 filter
Newton slopes for Artin-Schreier-Witt towers
Christopher Davis, Daqing Wan, Liang Xiao
We fix a monic polynomial over a finite field and consider the Artin-Schreier-Witt tower defined by ; this is a tower of curves $\cdots \to C_m \to…
Gauss-Manin connections for p-adic families of nearly overconvergent modular forms
Robert Harron, Liang Xiao
We interpolate the Gauss-Manin connection in p-adic families of nearly overconvergent modular forms. This gives a family of Maass-Shimura type differential operators from the space…
On Goren-Oort stratification for quaternionic Shimura varieties
Yichao Tian, Liang Xiao
Let be a totally real field in which is unramified. We study the Goren-Oort stratification of the special fibers of quaternionic Shimura varieties over a place above . W…
p-adic Cohomology and classicality of overconvergent Hilbert modular forms
Yichao Tian, Liang Xiao
Let be a totally real field in which is unramified. We prove that, if a cuspidal overconvergent Hilbert cuspidal form has small slopes under -operators, then it is cla…
Galois representations and torsion in the coherent cohomology of Hilbert modular varieties
Matthew Emerton, Davide A. Reduzzi, Liang Xiao
Let be a totally real number field and let be a prime unramified in . We prove the existence of Galois pseudo-representations attached to mod Hecke eigenclasses of…