Computing Néron-Severi groups and cycle class groups

Computing Néron-Severi groups and cycle class groups

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 cycle...

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Bibliographic Details
Main Authors: Poonen, Bjorn (Contributor), Testa, Damiano (Author), van Luijk, Ronald (Author)
Other Authors: Massachusetts Institute of Technology. Department of Mathematics (Contributor)
Format: Article
Language:English
Published: Cambridge University Press, 2016-09-22T22:29:56Z.
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Description
Summary: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.
John Simon Guggenheim Memorial Foundation
National Science Foundation (U.S.) (Grants DMS-0841321 and DMS-1069236)

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