Computing N\'eron-Severi groups and cycle class groups
Algebraic Geometry
2019-02-20 v4 Number Theory
Abstract
Assuming the Tate conjecture and the computability of \'etale cohomology with finite coefficients, we give an algorithm that computes the N\'eron-Severi group of any smooth projective geometrically integral variety, and also the rank of the group of numerical equivalence classes of codimension p cycles for any p.
Keywords
Cite
@article{arxiv.1210.3720,
title = {Computing N\'eron-Severi groups and cycle class groups},
author = {Bjorn Poonen and Damiano Testa and Ronald van Luijk},
journal= {arXiv preprint arXiv:1210.3720},
year = {2019}
}
Comments
22 pages; to appear in Compositio Math