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Department of Mathematics,
Department of Mathematics,
University of California San Diego
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Math 209 - Number Theory
David Kohel
University of Sydney
Constructive $p$-adic $CM$ for genus $2$ curves
Abstract:
Canonical lifts of elliptic curves have been used both for point counting (determining the zeta function) and for constructing $CM$ invariants. In genus $2$, Mestre introduced an algorithm for determining the zeta function of a curve using canonical lifts. In this talk I will describe an algorithm for determining $CM$ invariants in the moduli space of genus $2$ curves.
Host: W. Stein
September 29, 2005
2:00 PM
AP&M 7321
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