3 papers
math.NT2020
On Sato--Tate distributions, extremal traces, and real multiplication in genus 2
David Kohel, Yih-Dar Shieh
The vertical Sato--Tate conjectures gives expected trace distributions for for families of curves. We develop exact expression for the distribution associated to degree- represe…
math.NT2016
Character theory approach to Sato-Tate groups
Yih-Dar Shieh
In this article, we propose to use the character theory of compact Lie groups and their orthogonality relations for the study of Frobenius distribution and Sato-Tate groups. The re…
math.AG2016
Point Counting on Non-Hyperelliptic Genus 3 Curves with Automorphism Group using Monsky-Washnitzer Cohomology
Yih-Dar Shieh
We describe an algorithm to compute the zeta function of any non-hyperelliptic genus 3 plane curve over a finite field with automorphism group .…