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VOL. 66 | 2015 Monodromy of triple point line arrangements

Abstract

We show that the monodromy operator action on the first cohomology group of the Milnor fiber is combinatorially determined for line arrangements with at most triple points and containing at most 18 lines, with one possible exception. This last case depends on the existence of a line arrangement involving 18 lines and 48 triple points with a special distribution with respect to smooth conics.

Information

Published: 1 January 2015
First available in Project Euclid: 19 October 2018

zbMATH: 1360.32022
MathSciNet: MR3382043

Digital Object Identifier: 10.2969/aspm/06610071

Subjects:
Primary: 32S22, 32S25, 32S35, 32S55

Rights: Copyright © 2015 Mathematical Society of Japan

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