Edgar Costa

activity

20122023

most citedRigorous computation of the endomorphism ring of a Jacobian

58 citations · 99 across the 16 of their papers we have counts for

collaborators

Showing 2023 · math.NTShow all

2 papers · 2 filters

math.NT2023

Hypergeometric $L$ -functions in average polynomial time, II

Edgar Costa, Kiran S. Kedlaya, David Roe

For a fixed positive integer $e$ , we describe an algorithm for computing, for all primes $p \leq X$ , the mod- $p^{e}$ reduction of the trace of Frobenius at $p$ of a fixed hypergeomet…

math.NT2023

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 $A$ over $Q$ with geometric endomorphism ring equal to $Z$ , compute…

Hypergeometric L-functions in average polynomial time, II

Computing isogeny classes of typical principally polarized abelian surfaces over the rationals

Hypergeometric $L$ -functions in average polynomial time, II