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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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Integral closure of a cubic extension and applications
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by Sheng-Li Tan PDF
Proc. Amer. Math. Soc. 129 (2001), 2553-2562 Request permission

Abstract:

In this paper, we compute the integral closure of a cubic extension over a Noetherian unique factorization domain. We also present some applications to triple coverings and to rank two reflexive sheaves over an algebraic variety.
References
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Additional Information
  • Sheng-Li Tan
  • Affiliation: Department of Mathematics, East China Normal University, Shanghai 200062, People’s Republic of China
  • ORCID: 0000-0001-6763-1681
  • Email: sltan@math.ecnu.edu.cn
  • Received by editor(s): October 18, 1999
  • Received by editor(s) in revised form: January 22, 2000
  • Published electronically: February 9, 2001
  • Additional Notes: This work is partially supported by the Kort Foundation and the Emmy Noether Research Institute for Mathematics. This research is also supported by NSFOY, the 973 Project Foundation and the Doctoral Program Foundation of EMC
  • Communicated by: Wolmer V. Vasconcelos
  • © Copyright 2001 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 129 (2001), 2553-2562
  • MSC (2000): Primary 13B22, 14F05, 14E20
  • DOI: https://doi.org/10.1090/S0002-9939-01-05902-0
  • MathSciNet review: 1838377