Density of monodromy actions on non-abelian cohomology

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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.
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

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Algebraic Geometry

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http://salesiana.dossiersoluciones.com/handle/123456789/60829

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0101223
 http://arxiv.org/abs/math/0101223

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arXiv