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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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Truncated second main theorem with moving targets
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by Min Ru and Julie Tzu-Yueh Wang PDF
Trans. Amer. Math. Soc. 356 (2004), 557-571 Request permission

Abstract:

We prove a truncated Second Main Theorem for holomorphic curves intersecting a finite set of moving or fixed hyperplanes. The set of hyperplanes is assumed to be non-degenerate. Previously only general position or subgeneral position was considered.
References
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Additional Information
  • Min Ru
  • Affiliation: Department of Mathematics, University of Houston, Houston, Texas 77204
  • Email: minru@math.uh.edu
  • Julie Tzu-Yueh Wang
  • Affiliation: Institute of Mathematics, Academia Sinica, Nankang, Taipei 11529 Taiwan, Republic of China
  • MR Author ID: 364623
  • ORCID: 0000-0003-2133-1178
  • Email: jwang@math.sinica.edu.tw
  • Received by editor(s): January 17, 2001
  • Received by editor(s) in revised form: February 11, 2002
  • Published electronically: September 22, 2003
  • Additional Notes: The first author was supported in part by NSF grant DMS-9800361 and by NSA under grant number MDA904-01-1-0051, MSPF-02G-175
    The second author was supported in part by a NSC grant of Taiwan
  • © Copyright 2003 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 356 (2004), 557-571
  • MSC (2000): Primary 32H25, 32Q45
  • DOI: https://doi.org/10.1090/S0002-9947-03-03453-6
  • MathSciNet review: 2022710