• Corpus ID: 230435799

Local systems with quasi-unipotent monodromy at infinity are dense

@inproceedings{Esnault2021LocalSW,
  title={Local systems with quasi-unipotent monodromy at infinity are dense},
  author={H'elene Esnault and Moritz Kerz},
  year={2021}
}
We show that complex local systems with quasi-unipotent monodromy at infinity over a normal complex variety are Zariski dense in their moduli. 
2 Citations
Geometric local systems on very general curves and isomonodromy
We show that the minimum rank of a non-isotrivial local system of geometric origin on a suitably general n-pointed curve of genus g is at least 2 √ g + 1. We apply this result to resolve conjectures
$\pi_1$-small divisors and fundamental groups of varieties
Lasell and Ramachandran show that the existence of rational curves of positive self-intersection on a smooth projective surface X implies that all the finite dimensional linear representations of the

References

SHOWING 1-10 OF 23 REFERENCES
Density of Arithmetic Representations of Function Fields
We propose a conjecture on the density of arithmetic points in the deformation space of representations of the \'etale fundamental group in positive characteristic. This? conjecture has applications
Absolute sets of rigid local systems
The absolute sets of local systems on a smooth complex algebraic variety are the subject of a conjecture of [BW] based on an analogy with special subvarieties of Shimura varieties. An absolute set
Absolute sets and the decomposition theorem
We give a framework to produce constructible functions from natural functors between categories, without need of a morphism of moduli spaces to model the functor. We show using the Riemann-Hilbert
Arithmetic subspaces of moduli spaces of rank one local systems
We show that closed subsets of the character variety of a complex variety with negatively weighted homology, which are $p$-adically integral and Galois invariant, are motivic. Final version:
Geometrically irreducible $p$-adic local systems are de Rham up to a twist
We prove that any geometrically irreducible Qp-local system on a smooth algebraic variety over a p-adic field K becomes de Rham after a twist by a character of the Galois group of K. In particular,
Algebraic Groups: The Theory of Group Schemes of Finite Type over a Field
Algebraic groups play much the same role for algebraists as Lie groups play for analysts. This book is the first comprehensive introduction to the theory of algebraic group schemes over fields that
Rigidity and a Riemann–Hilbert correspondence for p-adic local systems
We construct a functor from the category of p-adic étale local systems on a smooth rigid analytic variety X over a p-adic field to the category of vector bundles with an integrable connection on its
Nonabelian Hodge Theory
Classically, Hodge theory and related constructions provided extra structure to abelian topological invariants of the usual topological spaces associated to algebraic varieties over (C. I would like
Character Varieties
Let G be a complex reductive algebraic group and let Γ be a finitely generated group. We study properties of irreducible and completely reducible representations ρ : Γ → G in the context of the
A conjecture on the arithmetic fundamental group
  • Israel J. of Math
  • 2001
...
1
2
3
...