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math.AG2026
-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…
math.AG2026
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…
math.AG2026
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…