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ALEXANDER POLYNOMIALS OF COMPLEX PROJECTIVE PLANE CURVES

Part of: Cycles and subschemes Singularities Curves (Co)homology theory

Published online by Cambridge University Press:  07 March 2018

QUY THUONG LÊ
QUY THUONG LÊ*
Affiliation:
Department of Mathematics, Vietnam National University, Hanoi, 334 Nguyen Trai Street, Thanh Xuan District, Hanoi, Vietnam email leqthuong@gmail.com
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Abstract

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We compute the Alexander polynomial of a nonreduced nonirreducible complex projective plane curve with mutually coprime orders of vanishing along its irreducible components in terms of certain multiplier ideals.

Keywords

Alexander polynomiallog-resolutionmultiplier idealslocal systems

MSC classification

Primary: 14H20: Singularities, local rings
Secondary: 14C20: Divisors, linear systems, invertible sheaves 14F18: Multiplier ideals 32S20: Global theory of singularities; cohomological properties
Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 97 , Issue 3 , June 2018 , pp. 386 - 395
Copyright
© 2018 Australian Mathematical Publishing Association Inc. 

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