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Journal of the American Mathematical Society

Published by the American Mathematical Society, the Journal of the American Mathematical Society (JAMS) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

ISSN 1088-6834 (online) ISSN 0894-0347 (print)

The 2020 MCQ for Journal of the American Mathematical Society is 4.79.

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Algebraic independence of periods and logarithms of Drinfeld modules
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by Chieh-Yu Chang and Matthew A. Papanikolas; with an appendix by Brian Conrad PDF
J. Amer. Math. Soc. 25 (2012), 123-150 Request permission

Abstract:

Let $\rho$ be a Drinfeld $A$-module with generic characteristic defined over an algebraic function field. We prove that all of the algebraic relations among periods, quasi-periods, and logarithms of algebraic points on $\rho$ are those coming from linear relations induced by endomorphisms of $\rho$.
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Additional Information
  • Chieh-Yu Chang
  • Affiliation: Department of Mathematics, National Tsing Hua University, No. 101, Sec. 2, Kuang Fu Road, Hsinchu City 30042, Taiwan, Republic of China and National Center for Theoretical Sciences, Hsinchu City 30042, Taiwan, Republic of China
  • Email: cychang@math.cts.nthu.edu.tw
  • Matthew A. Papanikolas
  • Affiliation: Department of Mathematics, Texas A&M University, College Station, Texas 77843 U.S.A.
  • Email: map@math.tamu.edu
  • Brian Conrad
  • Affiliation: Department of Mathematics, Stanford University, Stanford, California 94305 U.S.A.
  • MR Author ID: 637175
  • Email: conrad@math.stanford.edu
  • Received by editor(s): May 27, 2010
  • Received by editor(s) in revised form: May 23, 2011
  • Published electronically: August 1, 2011
  • Additional Notes: The first author was supported by an NCTS postdoctoral fellowship.
    The second author was supported by NSF Grant DMS-0903838.
    The author of the appendix was supported by NSF grant DMS-0917686.
  • © Copyright 2011 American Mathematical Society
    The copyright for this article reverts to public domain 28 years after publication.
  • Journal: J. Amer. Math. Soc. 25 (2012), 123-150
  • MSC (2010): Primary 11J93; Secondary 11G09, 11J89
  • DOI: https://doi.org/10.1090/S0894-0347-2011-00714-5
  • MathSciNet review: 2833480