Degree 4 coverings of elliptic curves by genus 2 curves

Autor: Shaska, T., Wijesiri, G., Wolf, S., Woodland, L.
Rok vydání: 2013
Předmět:
Zdroj: Albanian J. Math. Vol. 2, (2008), No. 4, 307-318
Druh dokumentu: Working Paper
Popis: Genus two curves covering elliptic curves have been the object of study of many articles. For a fixed degree $n$ the subloci of the moduli space $\mathcal M_2$ of curves having a degree $n$ elliptic subcover has been computed for $n=3, 5$ and discussed in detail for $n$ odd; see \cite{Sh1, SV2, Fr, FK}. When the degree of the cover is even the case in general has been treated in \cite{PRS}. In this paper we compute the sublocus of $\mathcal M_2$ of curves having a degree 4 elliptic subcover.
Databáze: arXiv