37 citations · 41 across the 5 of their papers we have counts for
9 papers · 1 filter
There is no Definable Grauert Direct Image Theorem
Hélène Esnault, Moritz Kerz
We prove the claim in the title by showing that a definable Grauert Direct Image Theorem in o-minimal geometry would imply a weak representability-like property of the definable Pi…
Algebraic flat connections and o-minimality
Hélène Esnault, Moritz Kerz
We prove that an algebraic flat connection has definable flat sections in the analytic exponential structure if and only if it is regular singular with unitary monodromy eigenvalue…
A non-abelian version of Deligne's Fixed Part Theorem
Hélène Esnault, Moritz Kerz
We formulate and prove a non-abelian analog of Deligne's Fixed Part theorem on Hodge classes, revisiting previous work of Jost--Zuo, Katzarkov--Pantev and Landesman--Litt. To this…
A remark on crystalline cohomology
Moritz Kerz, Georg Tamme
We propose a new approach to crystalline cohomology based on the observation that one can lift smooth algebras uniquely "up to coherent homotopy."
Semistable Lefschetz Pencils
Hélène Esnault, Moritz Kerz
We study the geometry and cohomology of Lefschetz pencils for semistable schemes over a discrete valuation ring. We relate the global cohomological properties of the Lefschetz penc…
Arithmetic subspaces of moduli spaces of rank one local systems
Hélène Esnault, Moritz Kerz
We show that closed subsets of the character variety of a complex variety with negatively weighted homology, which are -adically integral and Galois invariant, are motivic. Fina…