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Computing Néron-Severi groups and cycle class groups
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Poonen, Bjorn, Testa, Damiano and van Luijk, Ronald (2015) Computing Néron-Severi groups and cycle class groups. Compositio Mathematica, 151 (4). pp. 713-734. doi:10.1112/S0010437X14007878
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Official URL: https://doi.org/10.1112/S0010437X14007878
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.
| Item Type: | Journal Article | ||||||||||||
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| Subjects: | Q Science > QA Mathematics | ||||||||||||
| Divisions: | Faculty of Science > Mathematics | ||||||||||||
| Library of Congress Subject Headings (LCSH): | Geometry, Algebraic, Picard groups , Weil conjectures , Homology theory | ||||||||||||
| Journal or Publication Title: | Compositio Mathematica | ||||||||||||
| Publisher: | Cambridge University Press | ||||||||||||
| ISSN: | 0010-437X | ||||||||||||
| Official Date: | April 2015 | ||||||||||||
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| Volume: | 151 | ||||||||||||
| Number: | 4 | ||||||||||||
| Page Range: | pp. 713-734 | ||||||||||||
| DOI: | 10.1112/S0010437X14007878 | ||||||||||||
| Status: | Peer Reviewed | ||||||||||||
| Publication Status: | Published | ||||||||||||
| Access rights to Published version: | Restricted or Subscription Access | ||||||||||||
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