Density of monodromy actions on non-abelian cohomology
L. Katzarkov, T. Pantev, C. Simpson
Abstract
In this paper we study the monodromy action on the first Betti and de Rham non-abelian cohomology arising from a family of smooth curves. We describe sufficient conditions for the existence of a Zariski dense monodromy orbit. In particular we show that for a Lefschetz pencil of sufficiently high degree the monodromy action is dense.
Create a lesson
Related papers
Integral and higher-genus quantum McKay correspondence in type D
Andrea Brini, Jingxiang Ma
Tensor-generating line bundles on toric varieties
Daigo Ito, Michael R. Zeng, Xiangru Zeng
Deterministic Determination of Axial Constants, Sectional Regularities and Annihilator Numbers
Amir Hashemi, Rozhin Sadr, Werner M. Seiler
Series of Fano quiver moduli from extended Dynkin quivers
Pieter Belmans, Markus Reineke
Gluing weak approximability along recollements
Pat Lank
The monodromy conjecture for high order poles, and norms of residue antiderivatives
Alexander Esterov