Article contents
Linear series and the existence of branched covers
Published online by Cambridge University Press: 01 January 2008
Abstract
In this paper, we use the perspective of linear series, and in particular results following from the degeneration tools of limit linear series, to give a number of new results on the existence and non-existence of tamely branched covers of the projective line in positive characteristic. Our results are both in terms of ramification indices and the sharper invariant of monodromy cycles, and the first class of results are obtained by intrinsically algebraic and positive-characteristic arguments.
Keywords
MSC classification
- Type
- Research Article
- Information
- Copyright
- Copyright © Foundation Compositio Mathematica 2008
References
The author was supported by fellowships from the Japan Society for the Promotion of Science and the NSF.
- 3
- Cited by