Computing Néron–Severi groups and cycle class groups

Author(s)
Poonen, Bjorn; Testa, Damiano; van Luijk, Ronald
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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.
Date issued
2015-02
URI
http://hdl.handle.net/1721.1/104378
Department
Massachusetts Institute of Technology. Department of Mathematics
Journal
Compositio Mathematica
Publisher
Cambridge University Press
Citation
Poonen, Bjorn, Damiano Testa, and Ronald van Luijk. “Computing Néron–Severi Groups and Cycle Class Groups.” Compositio Mathematica 151.4 (2015): 713–734.
Version: Original manuscript
ISSN
0010-437X
1570-5846
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