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This paper lays the foundations for the global theory of irreducible components of rigid analytic spaces over
a complete eld k. We prove the excellence of the local rings on rigid spaces over k. Thi...
Irreducibility of the space of cyclic covers of algebraic curves of fixed numerical type and the irreducible components of $Sing (\bar{\mathfrak M_g})$
space algebraic curves numerical type irreducible components
2010/11/8
We prove irreducibility for the space of cyclic covers of fixed numerical type between smooth projective curves, and also for the space of cyclic covers of prime order and of fixed numerical-combinato...
Factorization semigroups and irreducible components of Hurwitz space. II
Factorization semigroups Hurwitz space. II
2010/11/22
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...