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June 2005 The twisted de Rham cohomology for basic constructionsof hyperplane arrangements and its applications
Yukihito KAWAHARA
Hokkaido Math. J. 34(2): 489-505 (June 2005). DOI: 10.14492/hokmj/1285766233

Abstract

In this paper we study the twisted de Rham cohomology for an arrangement of hyperplanes. We prove formulas for basic constructions of arrangements: the twisted Künneth formula for products or decompositions, the long exact sequence for triple constructions, and the relation for coning and deconing constructions. Moreover, we obtain the vanishing, dimension, and basis of the twisted de Rham cohomology for an arrangement in general position and a generic arrangement with arbitrary weight.

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Yukihito KAWAHARA. "The twisted de Rham cohomology for basic constructionsof hyperplane arrangements and its applications." Hokkaido Math. J. 34 (2) 489 - 505, June 2005. https://doi.org/10.14492/hokmj/1285766233

Information

Published: June 2005
First available in Project Euclid: 29 September 2010

zbMATH: 1093.14031
MathSciNet: MR2159008
Digital Object Identifier: 10.14492/hokmj/1285766233

Subjects:
Primary: 55N25
Secondary: 14F40 , 32S22

Keywords: hyperplane arrangement , twisted de Rham cohomology

Rights: Copyright © 2005 Hokkaido University, Department of Mathematics

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Vol.34 • No. 2 • June 2005
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