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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
The motivic fundamental group of a punctured elliptic curve and algebraic cycles
Jin Cao, Tomohide Terasoma
In this paper, we consider the motivic fundamental group of the punctured elliptic curves as a DG complex in the DG category of elliptic motives and describe its resolution via Sch…