|
|||||
|
|
Density of monodromy actions on non-abelian cohomology |
|
| Authors: | Ludmil Katzarkov Tony Pantev Carlos Simpson |
| Affiliation: | a University of California at Irvine, Irvine, CA 92697, USA b University of Pennsylvania, 209 South 33rd Street, Philadelphia, PA 19104-6395, USA c CRNS - Université de Nice-Sophia Antipolis, Parc Valrose, 06108 Nice, Cedex 2, France |
| 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: | |
| 本文献已被 ScienceDirect 等数据库收录！ | |