Edgar Costa

activity

20122023

most citedAbelian varieties of prescribed order over finite fields

4 citations · 5 across the 5 of their papers we have counts for

collaborators

Showing 2018Show all

2 papers · 1 filter

math.NT2018

Computing Zeta Functions of Cyclic Covers in Large Characteristic

Vishal Arul, Alex J. Best, Edgar Costa +2

We describe an algorithm to compute the zeta function of a cyclic cover of the projective line over a finite field of characteristic $p$ that runs in time $p^{1/2 + o (1)}$ . We conf…

math.NT2018

Zeta functions of nondegenerate hypersurfaces in toric varieties via controlled reduction in $p$ -adic cohomology

Edgar Costa, David Harvey, Kiran S. Kedlaya

We give an interim report on some improvements and generalizations of the Abbott-Kedlaya-Roe method to compute the zeta function of a nondegenerate ample hypersurface in a projecti…

Computing Zeta Functions of Cyclic Covers in Large Characteristic

Zeta functions of nondegenerate hypersurfaces in toric varieties via controlled reduction in p-adic cohomology

Zeta functions of nondegenerate hypersurfaces in toric varieties via controlled reduction in $p$ -adic cohomology