Sato–Tate distributions and Galois endomorphism modules in genus 2

For an abelian surface A over a number field k, we study the limiting distribution of the normalized Euler factors of the L-function of A. This distribution is expected to correspond to taking characteristic polynomials of a uniform random matrix in some closed subgroup of USp(4); this Sato–Tate gro...

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Bibliographic Details
Main Authors: Kedlaya, Kiran S., Sutherland, Andrew Victor, Fite, Francesc, Rotger, Victor
Other Authors: Massachusetts Institute of Technology. Department of Mathematics
Format: Article
Language:en_US
Published: Cambridge University Press 2013
Online Access:http://hdl.handle.net/1721.1/80369