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Canadian Number Theory Association X Meeting (CNTA X)
July 13-18, 2008
University of Waterloo
Waterloo, Ontario, Canada

Organizers
Kevin Hare (Waterloo, Wentang Kuo (Waterloo), Yu-Ru Liu (Waterloo), David McKinnon (Waterloo), Michael Rubinstein (Waterloo), Cam Stewart (Waterloo)

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Genus 2 curves with (4, 4) split Jacobians
by
Kevin Doerksen
Simon Fraser University

Split Jacobians are special. For genus 2 curves, they can be recognized from the fact that C is a degree n cover of an elliptic curve for some integer n. One can classify split Jacobians of genus 2 curves by these n. If C → E is a degree n cover then we say Jac(C) is (n, n) split. In this talk, we will classify (4, 4) split Jacobians of genus 2 curves.

Date received: May 29, 2008

Copyright © 2008 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # cawl-64.