Towards the homology of Hurwitz spaces. (English) Zbl 0848.14005
The purpose of this paper is to construct a complex which computes the homology of Hurwitz spaces of branched covers of \(\mathbb{P}^1\). We also compute some of the low dimensional homology groups of a compactification of the Hurwitz space, and report on computer calculations performed in specific examples.
Reviewer: D.Edidin (Columbia, MO)
MSC:
14E20 | Coverings in algebraic geometry |
14F25 | Classical real and complex (co)homology in algebraic geometry |
14C22 | Picard groups |