Computing Néron–Severi groups and cycle class groups
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Poonen_Computing Neron.pdf
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430.9 KB
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Author(s)
Poonen, Bjorn
Testa, Damiano
van Luijk, Ronald
Date Issued
February 2015
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
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.
MIT Department
Massachusetts Institute of Technology. Department of Mathematics
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Creative Commons Attribution-Noncommercial-Share Alike
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DOI of Published Version
https://doi.org/10.1112/S0010437X14007878
