11 citations · 39 across the 6 of their papers we have counts for
6 papers
Uniformization of -adic curves via Higgs-de Rham flows
Guitang Lan, Mao Sheng, Yanhong Yang +1
Let be an algebraic closure of a finite field of odd characteristic. We prove that for any rank two graded Higgs bundle with maximal Higgs field over a generic hyperbolic curve…
Nonabelian Hodge theory in positive characterstic via exponential twisting
Guitang Lan, Mao Sheng, Kang Zuo
Let be a perfect field of odd characteristic and a smooth algebraic variety over which is -liftable. We show that the exponent twisiting of the classical Cartier d…
Semistable Higgs bundles of small ranks are strongly Higgs semistable
Guitang Lan, Mao Sheng, Yanhong Yang +1
We give a proof of the conjecture that a semistable Higgs bundle is strongly Higgs semistable in the case of small ranks, based upon the fact that there exists a gr-semistable Grif…
Semistable Higgs bundles, periodic Higgs bundles and representations of algebraic fundamental groups
Guitang Lan, Mao Sheng, Kang Zuo
Let be the algebraic closure of a finite field of odd characteristic and a smooth projective scheme over the Witt ring which is geometrically connected in chara…
Semistable Higgs bundles and representations of algebraic fundamental groups: Positive characteristic case
Guitang Lan, Mao Sheng, Kang Zuo
Let be an algebraic closure of finite fields with odd characteristic and a smooth projective scheme . Let be its generic fiber and the c…
An inverse Cartier transform via exponential in positive characteristic
Guitang Lan, Mao Sheng, Kang Zuo
Let be a perfect field of odd characteristic and a smooth connected algebraic variety over which is assumed to be -liftable. In this short note we associa…