49 citations · 223 across the 37 of their papers we have counts for
4 papers · 2 filters
A heuristic for the distribution of point counts for random curves over a finite field
Jeffrey D. Achter, Daniel Erman, Kiran S. Kedlaya +2
How many rational points are there on a random algebraic curve of large genus over a given finite field ? We propose a heuristic for this question motivated by a…
Local heuristics and an exact formula for abelian surfaces over finite fields
Jeff Achter, Cassie Williams
Consider a quartic -Weil polynomial . Motivated by equidistribution considerations we define, for each prime , a local factor which measures the relative frequency with…
Superspecial rank of supersingular abelian varieties and Jacobians
Jeff Achter, Rachel Pries
An abelian variety defined over an algebraically closed field k of positive characteristic is supersingular if it is isogenous to a product of supersingular elliptic curves and is…
A note on L-packets and abelian varieties over local fields
Jeff Achter, Clifton Cunningham
A polarized abelian variety (X,λ) of dimension g over a local field K determines an admissible representation of GSpin_{2g+1}(K). We show that the restriction of this representatio…