From the 1 of 6 linked papers with an AI index.
6 papers
Topology of Galois conjugate character varieties
Junliang Shen, Siqing Zhang
The paper investigates how integral structures, automorphisms, and tautological relations in the cohomology of character varieties can be used to distinguish the homotopy types of…
Polynomiality of the Generalized Verschiebung Degree
Siqing Zhang
For a general curve in positive characteristic, taking the Frobenius pullback induces a generically finite rational map V on the moduli space of rank 2 vector bundles with trivial…
Semistable Non Abelian Hodge theorem in positive characteristic
Andres Fernandez Herrero, Siqing Zhang
In this paper, we show that for any reductive group the moduli space of semistable -Higgs bundles on a curve in characteristic is a twisted form of the moduli space of s…
A note on Azumaya algebras and one-forms
Siqing Zhang
The crystalline differential operators on a smooth variety X give rise to a non-split Azumaya algebra over the cotangent bundle of the Frobenius twist X'. In some cases, this Azuma…
Meromorphic Hodge moduli spaces for reductive groups in arbitrary characteristic
Andres Fernandez Herrero, Siqing Zhang
Fix a smooth projective family of curves and a split reductive group scheme over a Noetherian base scheme . For any (possibly nonreduced) fixed relative Cartier di…
Logarithmic Non-Abelian Hodge Theory for curves in prime characteristic
Mark Andrea de Cataldo, Siqing Zhang
For a curve C and a reductive group G in prime characteristic, we relate the de Rham moduli of logarithmic G-connections on C to the Dolbeault moduli of logarithmic G-Higgs bundles…