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- W4280564845 abstract "Given a smooth, projective curve $Y$, a finite group $G$ and a positive integer $n$ we study smooth, proper families $Xto Ytimes Sto S$ of Galois covers of $Y$ with Galois group isomorphic to $G$ branched in $n$ points, parameterized by algebraic varieties $S$. When $G$ is with trivial center we prove that the Hurwitz space $H^G_n(Y)$ is a fine moduli variety for this category and construct explicitly the universal family. For arbitrary $G$ we prove that $H^G_n(Y)$ is a coarse moduli variety. For families of pointed Galois covers of $(Y,y_0)$ we prove that the Hurwitz space $H^G_n(Y,y_0)$ is a fine moduli variety, and construct explicitly the universal family, for arbitrary group $G$. We use classical tools of algebraic topology and of complex algebraic geometry." @default.
- W4280564845 created "2022-05-22" @default.
- W4280564845 creator A5019608861 @default.
- W4280564845 date "2022-05-12" @default.
- W4280564845 modified "2023-10-15" @default.
- W4280564845 title "Hurwitz moduli varieties parameterizing Galois covers of an algebraic curve" @default.
- W4280564845 doi "https://doi.org/10.48550/arxiv.2205.06020" @default.
- W4280564845 hasPublicationYear "2022" @default.
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