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Transactions of the American Mathematical Society

Published by the American Mathematical Society since 1900, Transactions of the American Mathematical Society is devoted to longer research articles in all areas of pure and applied mathematics.

ISSN 1088-6850 (online) ISSN 0002-9947 (print)

The 2020 MCQ for Transactions of the American Mathematical Society is 1.48.

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The isotrivial case in the Mordell-Lang Theorem
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by Dragos Ghioca PDF
Trans. Amer. Math. Soc. 360 (2008), 3839-3856 Request permission

Abstract:

We determine the structure of the intersection of a finitely generated subgroup of a semiabelian variety $G$ defined over a finite field with a closed subvariety $X\subset G$. We also study a related question in the context of a power of the additive group scheme.
References
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Additional Information
  • Dragos Ghioca
  • Affiliation: Department of Mathematics & Statistics, Hamilton Hall, Room 218, McMaster University, 1280 Main Street West, Hamilton, Ontario, Canada L8S 4K1
  • Address at time of publication: Department of Mathematics and Computer Science, University of Lethbridge, Lethbridge, Alberta, Canada T1K 3M4
  • MR Author ID: 776484
  • Email: dghioca@math.mcmaster.ca
  • Received by editor(s): February 7, 2006
  • Received by editor(s) in revised form: July 16, 2006
  • Published electronically: February 27, 2008
  • © Copyright 2008 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 360 (2008), 3839-3856
  • MSC (2000): Primary 11G10; Secondary 11G25
  • DOI: https://doi.org/10.1090/S0002-9947-08-04388-2
  • MathSciNet review: 2386248