Density of monodromy actions on non-abelian cohomology

Details Density of monodromy actions on non-abelian cohomology Density of monodromy actions on non-abelian cohomology

2001-01-26

arxiv.org/abs/math/0101223v3

Mathematics

Algebraic Geometry

LaTeX2e, 48 pages, Version substantially revised for publication. A gap in the proof of the density for Lefschetz pencils is f

Scientific paper

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.

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