Open this publication in new window or tab >>2013 (English)In: The Michigan mathematical journal, ISSN 0026-2285, E-ISSN 1945-2365, Vol. 62, no 4, p. 705-720Article in journal (Refereed) Published
Abstract [en]
We consider the loci of d-elliptic curves in $M_2$, and corresponding loci of d-elliptic surfaces in $A_2$. We show how a description of these loci as quotients of a product of modular curves can be used to calculate cohomology of natural local systems on them, both as mixed Hodge structures and $\ell$-adic Galois representations. We study in particular the case d=2, and compute the Euler characteristic of the moduli space of n-pointed bi-elliptic genus 2 curves in the Grothendieck group of Hodge structures.
National Category
Algebra and Logic
Identifiers
urn:nbn:se:kth:diva-49336 (URN)10.1307/mmj/1387226161 (DOI)000330420800003 ()2-s2.0-84892168133 (Scopus ID)
Note
QC 20140227. Updated from manuscript to article in journal.
2011-11-252011-11-252022-06-24Bibliographically approved