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math.AG2022
The de Rham stack and the variety of very good splittings of a curve
Mark Andrea A. de Cataldo, Michael Groechenig, Siqing Zhang
The stack of relative splittings of a special Azumaya algebra plays a key role in the Non-Abelian Hodge Theory for curves in positive characteristics. In this paper, we define and…
math.AG2022★ 1 cited
Geometry of the logarithmic Hodge moduli space (with an Appendix joint with Siqing Zhang)
Mark Andrea A. de Cataldo, Andres Fernandez Herrero
We show the smoothness over the affine line of the Hodge moduli space of logarithmic t-connections of coprime rank and degree on a smooth projective curve with geometrically integr…