Density of monodromy actions on non-abelian cohomology

نویسندگان

  • Ludmil Katzarkov
  • Tony Pantev
  • Carlos Simpson
چکیده

In this paper we study the monodromy action on the first Betti and de Rham nonabelian 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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تاریخ انتشار 2008