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math.AG2022★ 1 cited
Complex K-theory of moduli spaces of Higgs bundles
Michael Groechenig, Shiyu Shen
We establish an isomorphism of complex -theory of the moduli space of -Higgs bundles of degree and rank (in the sense of Hausel--Thaddeus)…
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
Rigid non-cohomologically rigid local systems
Johan de Jong, Hélène Esnault, Michael Groechenig
For any even natural number , we construct an irreducible rigid non-cohomologically rigid complex local system of rank on a smooth projective variety depending on .…