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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 ABC theorem for higher-dimensional function fields
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by Liang-Chung Hsia and Julie Tzu-Yueh Wang PDF
Trans. Amer. Math. Soc. 356 (2004), 2871-2887 Request permission

Abstract:

We generalize the ABC theorems to the function field of a variety over an algebraically closed field of arbitrary characteristic which is non-singular in codimension one. We also obtain an upper bound for the minimal order sequence of Wronskians over such function fields of positive characteristic.
References
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Additional Information
  • Liang-Chung Hsia
  • Affiliation: Department of Mathematics, National Central University, Taiwan
  • MR Author ID: 606569
  • Email: hsia@math.ncu.edu.tw
  • Julie Tzu-Yueh Wang
  • Affiliation: Institute of Mathematics, Academia Sinica, Nankang 115, Taipei, Taiwan
  • MR Author ID: 364623
  • ORCID: 0000-0003-2133-1178
  • Email: jwang@math.sinica.edu.tw
  • Received by editor(s): April 15, 2003
  • Published electronically: November 12, 2003
  • © Copyright 2003 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 356 (2004), 2871-2887
  • MSC (2000): Primary 11J97; Secondary 11J61
  • DOI: https://doi.org/10.1090/S0002-9947-03-03363-4
  • MathSciNet review: 2052600