58 citations · 99 across the 16 of their papers we have counts for
19 papers
Hypergeometric -functions in average polynomial time, II
Edgar Costa, Kiran S. Kedlaya, David Roe
For a fixed positive integer , we describe an algorithm for computing, for all primes , the mod- reduction of the trace of Frobenius at of a fixed hypergeomet…
A database of basic numerical invariants of Hilbert modular surfaces
Eran Assaf, Angelica Babei, Ben Breen +8
We describe algorithms for computing geometric invariants for Hilbert modular surfaces, and we report on their implementation.
Computing isogeny classes of typical principally polarized abelian surfaces over the rationals
Raymond van Bommel, Shiva Chidambaram, Edgar Costa +1
We describe an efficient algorithm which, given a principally polarized (p.p.) abelian surface over with geometric endomorphism ring equal to , compute…
Abelian varieties of prescribed order over finite fields
Raymond van Bommel, Edgar Costa, Wanlin Li +2
Given a prime power and , we prove that every integer in a large subinterval of the Hasse--Weil interval is $#A(\mathbb{F}_q)$…
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…
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…