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math.AG2025
Frobenius induced morphisms on moduli of sheaves on curves
Jin Cao, Xiaoyu Su
We show the Frobenius pullback of a general semi-stable vector bundle in the moduli space of vector bundles with fixed rank and degree is still semi-stable by deformation trick. We…
math.AG2024
Picard Groups of Spectral Varieties and Moduli of Higgs Sheaves
Xiaoyu Su, Bin Wang
We study moduli spaces of Higgs sheaves valued in line bundles and the associated Hitchin maps on surfaces. We first work out Picard groups of generic (very general) spectral varie…