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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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Vector heights on K3 surfaces
by
Arthur Baragar
University of Nevada Las Vegas
Coauthors: Ronald van Luijk

In this talk, we discuss the notion of a vector height for K3 surfaces - a height from a K3 surface to its Picard group tensored with R. We discuss the relationship between vector heights and Weil heights; the advantage of using vector heights; and the existence and non-existence of canonical vector heights. We use vector heights to calculate the asymptotic behavior of the number of points with bounded height and in an orbit under the group of automorphisms on certain K3 surfaces.

Date received: June 15, 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 # caxo-05.