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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Vanishing theorems, boundedness and hyperbolicity over higher-dimensional bases
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by Sándor J. Kovács PDF
Proc. Amer. Math. Soc. 131 (2003), 3353-3364 Request permission

Abstract:

A vanishing theorem is proved for families over higher dimensional bases and applied to generalize some Shafarevich type statements to that setting.
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Additional Information
  • Sándor J. Kovács
  • Affiliation: Department of Mathematics, University of Washington, 354350, Seattle, Washington 98195
  • MR Author ID: 289685
  • Email: kovacs@math.washington.edu
  • Received by editor(s): April 4, 2001
  • Received by editor(s) in revised form: June 10, 2002
  • Published electronically: May 5, 2003
  • Additional Notes: This work was supported in part by NSF Grants DMS-0196072, DMS-0092165, and a Sloan Research Fellowship.
  • Communicated by: Michael Stillman
  • © Copyright 2003 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 131 (2003), 3353-3364
  • MSC (2000): Primary 14J10
  • DOI: https://doi.org/10.1090/S0002-9939-03-07070-9
  • MathSciNet review: 1990623