Moduli of abelian covers of elliptic curves

Autor:	Pagani, Nicola
Rok vydání:	2013
Předmět:	Mathematics - Algebraic Geometry Mathematics - Algebraic Topology Mathematics - Number Theory 14H10 14D99 14H52 14K10 14N35
Druh dokumentu:	Working Paper
Popis:	For any finite abelian group G, we study the moduli space of abelian $G$-covers of elliptic curves, in particular identifying the irreducible components of the moduli space. We prove that, in the totally ramified case, the moduli space has trivial rational Picard group, and it is birational to the moduli space M_{1,n}, where n is the number of branch points. In the particular case of moduli of bielliptic curves, we also prove that the boundary divisors are a basis of the rational Picard group of the admissible covers compactification of the moduli space. Our methods are entirely algebro-geometric. Comment: 25 pages, 1 figure. Comments are welcome
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1303.2991 Zobrazit plný text záznamu View this record from Arxiv