58 citations · 99 across the 16 of their papers we have counts for
Showing 2020Show all
3 papers · 1 filter
math.NT2020★ 1 cited
Hypergeometric L-functions in average polynomial time
Edgar Costa, Kiran S. Kedlaya, David Roe
We describe an algorithm for computing, for all primes , the mod- reduction of the trace of Frobenius at of a fixed hypergeometric motive in time quasilinear in $X…
math.AG2020★ 4 cited
Effective obstruction to lifting Tate classes from positive characteristic
Edgar Costa, Emre Can Sertöz
We give an algorithm that takes a smooth hypersurface over a number field and computes a -adic approximation of the obstruction map on the Tate classes of a finite reduction. Th…
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…