Open AccessIntegral closure of a cubic extension and applications
Author(s) -
Sheng-Li Tan
Publication year - 2001
Publication title -
proceedings of the american mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.968
H-Index - 84
eISSN - 1088-6826
pISSN - 0002-9939
DOI - 10.1090/s0002-9939-01-05902-0
Subject(s) - closure (psychology) , extension (predicate logic) , mathematics , noetherian , unique factorization domain , rank (graph theory) , factorization , variety (cybernetics) , algebraic number , integral domain , pure mathematics , domain (mathematical analysis) , algebra over a field , field (mathematics) , combinatorics , mathematical analysis , computer science , algorithm , programming language , statistics , economics , market economy
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.