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arXiv · 1210.3720

Computing Néron-Severi groups and cycle class groups

Bjorn Poonen·Damiano Testa·Ronald van Luijk
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Abstract

Assuming the Tate conjecture and the computability of étale cohomology with finite coefficients, we give an algorithm that computes the Néron-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.

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Bjorn Poonen, Damiano Testa, Ronald van Luijk. 2014-08-04. Computing Néron-Severi groups and cycle class groups. https://doi.org/10.1112/s0010437x14007878

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