Integral closure of a cubic extension and applications

Sheng Li Tan

doi:10.1090/s0002-9939-01-05902-0

Integral closure of a cubic extension and applications

Sheng Li Tan^*

^*Corresponding author for this work

School of Mathematical Sciences

Research output: Contribution to journal › Article › peer-review

5 Scopus citations

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.

Original language	English
Pages (from-to)	2553-2562
Number of pages	10
Journal	Proceedings of the American Mathematical Society
Volume	129
Issue number	9
DOIs	https://doi.org/10.1090/s0002-9939-01-05902-0
State	Published - 2001

Keywords

Covering
Cubic extension
Integral closure
Vector bundle

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10.1090/s0002-9939-01-05902-0

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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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AB - 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.

KW - Covering

KW - Cubic extension

KW - Integral closure

KW - Vector bundle

UR - https://www.scopus.com/pages/publications/23044526037

U2 - 10.1090/s0002-9939-01-05902-0

DO - 10.1090/s0002-9939-01-05902-0

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JF - Proceedings of the American Mathematical Society

IS - 9

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Integral closure of a cubic extension and applications

Abstract

Keywords

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