Factorization semigroups and irreducible components of Hurwitz space. II

Details Factorization semigroups and irreducible components of Hurwitz space. II Factorization semigroups and irreducible components of Hurwitz space. II

2010-11-16

arxiv.org/abs/1011.3619v2

Mathematics

Algebraic Geometry

9 pages; the assertion of Theorem 2 is weakened and more detailed proof of Theorem 1 is given. Accepted in Izv. Math

Scientific paper

This article is a continuation of the article with the same title (see arXiv:1003.2953v1). Let {\rm $\text{HUR}_{d,t}^{G}(\mathbb P^1)$} be the Hurwitz space of degree $d$ coverings of the projective line $\mathbb P^1$ with Galois group $\mathcal S_d$ and having fixed monodromy type $t$ consisting of a collection of local monodromy types (that is, a collection of conjugacy classes of permutations $\sigma$ of the symmetric group $\mathcal S_d$ acting on the set $I_d=\{1,...,d\}$). We prove that if the type $t$ contains big enough number of local monodromies belonging to the conjugacy class $C$ of an odd permutation $\sigma$ which leaves fixed $f_C\geq 2$ elements of $I_d$, then the Hurwitz space {\rm $\text{HUR}_{d,t}^{\mathcal S_d}(\mathbb P^1)$} is irreducible.

Affiliated with

Also associated with

No associations

Rating

Factorization semigroups and irreducible components of Hurwitz space. II 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 Factorization semigroups and irreducible components of Hurwitz space. II, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Factorization semigroups and irreducible components of Hurwitz space. II will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-464036