Period and index of genus one curves over global fields-Reference-Cited by-同舟云学术

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Period and index of genus one curves over global fields

Published:2011-12-13 Issue:3 Volume:354 Page:1029-1047
ISSN:0025-5831
Container-title:Mathematische Annalen
language:en
Short-container-title:Math. Ann.

Author:

Sharif Shahed

Publisher

Springer Science and Business Media LLC

Subject

General Mathematics

Link

http://link.springer.com/content/pdf/10.1007/s00208-011-0745-1.pdf

Reference25 articles.

1. Artin, E., Tate, J.: Class Field Theory. AMS Chelsea Publishing, Providence (2009) (reprinted with corrections from the 1967 original)

2. Cassels J.: Arithmetic on curves of genus 1. V. Two counterexamples. J. Lond. Math. Soc. 41, 244–248 (1966)

3. Clark P.L.: The period-index problem in WC-groups IV: a local transition theorem. J. Théor. Nombres Bordx. 22(3), 583–606 (2010)

4. Clark P.L.: The period-index problem in WC-groups I: elliptic curves. J. Number Theory 114, 193–208 (2005)

5. Clark P.L.: There are genus one curves of every index over every number field. J. Reine Angew. Math. 594, 201–206 (2006)

Cited by 3 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. There are genus one curves of every index over every infinite, finitely generated field;Journal für die reine und angewandte Mathematik (Crelles Journal);2019-04-01

2. Rabinowitsch times six;Rocky Mountain Journal of Mathematics;2019-04-01

3. Period and index for higher genus curves;Journal of Number Theory;2018-05

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