On Sato–Tate distributions, extremal traces, and real multiplication in genus 2

The vertical Sato–Tate conjectures gives expected trace distributions for for families of curves. We develop exact expression for the distribution associated to degree-

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Bibliographic Details
Published inArithmetic, Geometry, Cryptography and Coding Theory Vol. 770; pp. 185 - 203
Main Authors Kohel, David, Shieh, Yih-Dar
Format Book Chapter
LanguageEnglish
Published Providence, Rhode Island American Mathematical Society
SeriesContemporary Mathematics
Online AccessGet full text
ISBN9781470454265
1470454262
ISSN0271-4132
1098-3627
DOI10.1090/conm/770/15435

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Summary:The vertical Sato–Tate conjectures gives expected trace distributions for for families of curves. We develop exact expression for the distribution associated to degree-
ISBN:9781470454265
1470454262
ISSN:0271-4132
1098-3627
DOI:10.1090/conm/770/15435