Density of monodromy actions on non-abelian cohomology
| dc.creator | Katzarkov, L. | |
| dc.creator | Pantev, T. | |
| dc.creator | Simpson, C. | |
| dc.date | 2001-01-26 | |
| dc.date | 2003-05-12 | |
| dc.date.accessioned | 2026-07-07T04:39:50Z | |
| dc.date.available | 2026-07-07T04:39:50Z | |
| dc.description | 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. | |
| dc.description | 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 | |
| dc.identifier | https://arxiv.org/abs/math/0101223 | |
| dc.identifier | http://arxiv.org/abs/math/0101223 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/60829 | |
| dc.subject | Algebraic Geometry | |
| dc.title | Density of monodromy actions on non-abelian cohomology | |
| dc.type | text |