Curves over every global field violating the local-global principle
Name
Poonen_Curves over.pdf
Size
178.89 KB
Format
Adobe PDF
Checksum (MD5)
4d8f062fdb58be472e705e14e02d466e
Author(s)
Poonen, Bjorn
Date Issued
May 2010
Journal
Journal of Mathematical Sciences
Publisher
Springer-Verlag
Citation
Poonen, B. “Curves over Every Global Field Violating the Local-global Principle.” Journal of Mathematical Sciences 171.6 (2010): 782–785. Web. 27 Apr. 2012. © 2010 Springer Science+Business Media B.V.
Version
Author's final manuscript
Abstract
There is an algorithm that takes as input a global field k and produces a curve over k violating the local-global principle. Also, given a global field k and a nonnegative integer n, one can effectively construct a curve X over k such that #X(k) = n.
MIT Department
Massachusetts Institute of Technology. Department of Mathematics
Terms of Use
Creative Commons Attribution-Noncommercial-Share Alike 3.0
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DOI of Published Version
https://doi.org/10.1007/s10958-010-0182-9
