In this note we give a description up to a quasi-finite morphism of the absolute sets of simple cohomologically rigid local systems on a smooth complex quasi-projective algebraic variety. In dimension one or rank two, this proves a conjecture of Budur–Wang on the structure of these sets
LetX/Fq be a smooth, geometrically connected, quasi projective scheme. Let Ebe a semisimple over con...
If in a given rank $r$, there is an irreducible complex local system with torsion determinant and qu...
We show that complex local systems with quasi-unipotent monodromy at infinity over a normal complex ...
We show that in positive characteristic special loci of deformation spaces of rank one ℓ-adic local ...
We construct a functor from the category of p-adic étale local systems on a smooth rigid analytic va...
We study pairs of non-constant maps between two integral schemes of finite type over two (possibly d...
AbstractWe classify all Sp4(C)-rigid, quasi-unipotent local systems and show that all of them have g...
AbstractWe study the tangent cone to the variety Vkm of rank one local systems on a finite CW-comple...
We exhibit a rigid local system of rank six on the affine line in characteristic p = 5 whose arithme...
We prove that any geometrically irreducible $\overline{\mathbb{Q}}_p$-local system on a smooth algeb...
We construct a functor from the category of p-adic ,tale local systems on a smooth rigid analytic va...
AbstractWe construct certain rigid local systems on Gm over finite fields, using the theory of Delig...
In this paper, we study the cohomology of semisimple local systems in the spirit of classical Hodge ...
International audienceFor a G-variety X with an open orbit, we define its boundary ∂X as the complem...
This small text was written for the AMS Notices. It is a survey of integrality properties of complex...
LetX/Fq be a smooth, geometrically connected, quasi projective scheme. Let Ebe a semisimple over con...
If in a given rank $r$, there is an irreducible complex local system with torsion determinant and qu...
We show that complex local systems with quasi-unipotent monodromy at infinity over a normal complex ...
We show that in positive characteristic special loci of deformation spaces of rank one ℓ-adic local ...
We construct a functor from the category of p-adic étale local systems on a smooth rigid analytic va...
We study pairs of non-constant maps between two integral schemes of finite type over two (possibly d...
AbstractWe classify all Sp4(C)-rigid, quasi-unipotent local systems and show that all of them have g...
AbstractWe study the tangent cone to the variety Vkm of rank one local systems on a finite CW-comple...
We exhibit a rigid local system of rank six on the affine line in characteristic p = 5 whose arithme...
We prove that any geometrically irreducible $\overline{\mathbb{Q}}_p$-local system on a smooth algeb...
We construct a functor from the category of p-adic ,tale local systems on a smooth rigid analytic va...
AbstractWe construct certain rigid local systems on Gm over finite fields, using the theory of Delig...
In this paper, we study the cohomology of semisimple local systems in the spirit of classical Hodge ...
International audienceFor a G-variety X with an open orbit, we define its boundary ∂X as the complem...
This small text was written for the AMS Notices. It is a survey of integrality properties of complex...
LetX/Fq be a smooth, geometrically connected, quasi projective scheme. Let Ebe a semisimple over con...
If in a given rank $r$, there is an irreducible complex local system with torsion determinant and qu...
We show that complex local systems with quasi-unipotent monodromy at infinity over a normal complex ...
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