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math.AG2026
Topology of Galois conjugate character varieties
Junliang Shen, Siqing Zhang
We study the interaction between integral structures, automorphisms, and tautological relations for the cohomology of character varieties. Based on this, we propose a method to det…
math.AG2026
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…
math.AG2026
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…