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Millennial Conference on Number Theory
May 21-26, 2000
University of Illinois
Urbana, IL, USA

Organizers
B.C. Berndt, N. Boston, H.G. Diamond, A.J. Hildebrand, W. Philipp

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Manin-Mumford problems in genus two (and one?)
by
David Grant
University of Colorado at Boulder
Coauthors: John Boxall (University of Caen)

Let C be a curve of genus two defined over a field of characteristic zero, W a Weierstrass point of C, and J the Jacobian of C. We will discuss contraints on the torsion points of J which lie on the image of C embedded into J using W as base point. Relations to an analogous problem for genus one curves will be discussed.

Date received: March 18, 2000

Copyright © 2000 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 # caew-37.