The irreducibility of certain pure-cycle Hurwitz spaces

Details The irreducibility of certain pure-cycle Hurwitz spaces The irreducibility of certain pure-cycle Hurwitz spaces

2006-09-04

arxiv.org/abs/math/0609118v1

Mathematics

Algebraic Geometry

18 pages

Scientific paper

We study "pure-cycle" Hurwitz spaces, parametrizing covers of the projective line having only one ramified point over each branch point. We start with the case of genus-0 covers, using a combination of limit linear series theory and group theory to show that these spaces are always irreducible. In the case of four branch points, we also compute the associated Hurwitz numbers. Finally, we give a conditional result in the higher-genus case, requiring at least 3g simply branched points. These results have equivalent formulations in group theory, and in this setting complement results of Conway-Fried-Parker-Volklein.

Affiliated with

Also associated with

No associations

Rating

The irreducibility of certain pure-cycle Hurwitz spaces does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with The irreducibility of certain pure-cycle Hurwitz spaces, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The irreducibility of certain pure-cycle Hurwitz spaces will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-554940