3 papers
math.NT2020
Restrictions on Weil polynomials of Jacobians of hyperelliptic curves
Edgar Costa, Ravi Donepudi, Ravi Fernando +3
Inspired by experimental data, this paper investigates which isogeny classes of abelian varieties defined over a finite field of odd characteristic contain the Jacobian of a hypere…
math.NT2019
Undecidability, unit groups, and some totally imaginary infinite extensions of
Caleb Springer
We produce new examples of totally imaginary infinite extensions of which have undecidable first-order theory by generalizing the methods used by Martinez-Ranero, Utre…
math.NT2018
Computing the endomorphism ring of an ordinary abelian surface over a finite field
Caleb Springer
We present a new algorithm for computing the endomorphism ring of an ordinary abelian surface over a finite field which is subexponential and generalizes an algorithm of Bisson and…