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VOL. 62 | 2012 On combinatorial invariance of the cohomology of the Milnor fiber of arrangements and the Catalan equation over function fields

Abstract

We discuss combinatorial invariance of the betti numbers of the Milnor fiber for arrangements of lines with points of multiplicity two and three and describe a link between this problem and enumeration of solutions of the Catalan equation over function field in the case when its coefficients are products of linear forms and the equation defines an elliptic curve.

Information

Published: 1 January 2012
First available in Project Euclid: 24 November 2018

zbMATH: 1260.14035
MathSciNet: MR2933797

Digital Object Identifier: 10.2969/aspm/06210175

Subjects:
Primary: 11F23, 14H30, 32S22, 52B30

Rights: Copyright © 2012 Mathematical Society of Japan

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