Density of monodromy actions on non-abelian cohomology
Algebraic Geometry
2007-05-23 v3
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.
Keywords
Cite
@article{arxiv.math/0101223,
title = {Density of monodromy actions on non-abelian cohomology},
author = {L. Katzarkov and T. Pantev and C. Simpson},
journal= {arXiv preprint arXiv:math/0101223},
year = {2007}
}
Comments
LaTeX2e, 48 pages, Version substantially revised for publication. A gap in the proof of the density for Lefschetz pencils is fixed. The case of hyperelliptic monodromy is also treated in detail