Density of monodromy actions on non-abelian cohomology

Ludmil Katzarkov, Tony Pantev, Carlos Simpson

Research output: Contribution to journalArticle

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.

Original languageEnglish (US)
Pages (from-to)155-204
Number of pages50
JournalAdvances in Mathematics
Volume179
Issue number2
DOIs
StatePublished - Nov 10 2003

ASJC Scopus subject areas

  • Mathematics(all)

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