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Integral closure of a cubic extension and applications

Author: Sheng-Li Tan
Journal: Proc. Amer. Math. Soc. 129 (2001), 2553-2562
MSC (2000): Primary 13B22, 14F05, 14E20
Published electronically: February 9, 2001
MathSciNet review: 1838377
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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.

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Additional Information

Sheng-Li Tan
Affiliation: Department of Mathematics, East China Normal University, Shanghai 200062, People’s Republic of China

Keywords: Cubic extension, integral closure, covering, vector bundle
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
Article copyright: © Copyright 2001 American Mathematical Society

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