16 citations · 43 across the 20 of their papers we have counts for
32 papers
-independence for K3-surfaces via -adic integration
Michael Groechenig, Dimitri Wyss, Paul Ziegler
This article provides a proof of a previously unknown case of Toda's -independence conjecture by reduction to non-archimedean local fields. Our strategy is based on a novel comp…
The Grothendieck-Katz Conjecture for privileged local systems
Hélène Esnault, Michael Groechenig
We define study privileged local systems on a smooth quasi-projective complex variety with fixed quasi-unipotent monodromies around a boundary divisor. The notion is a generali…
Twisted Higgs bundles and coendoscopy
Michael Groechenig, Xuanyou Li, Dimitri Wyss +1
This short note is devoted to the study of -Higgs bundles twisted by a central gerbe. These objects arise naturally in the decomposition of the inertia stacks of -Higgs bundl…
Twisted points of quotient stacks, integration and BPS-invariants
Michael Groechenig, Dimitri Wyss, Paul Ziegler
We study -adic manifolds associated with twisted points of quotient stacks and their quotient spaces . We prove several structural res…
Cristallinity of rigid flat connections revisited
Hélène Esnault, Michael Groechenig
We generalise a theorem on the existence of Frobenius isocrystal and Fontaine-Laffaille module structures on rigid flat connections to the non-proper setting. The proof is based on…
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)…