Abstract
The first part of this paper is a survey on algebro-geometric aspects of sheaves of logarithmic vector fields of hyperplane arrangements. In the second part we prove that the relative de Rham cohomology (of degree two) of ADE-type adjoint quotient map is naturally isomorphic to the module of certain multiderivations. The isomorphism is obtained by the Gauss–Manin derivative of the Kostant–Kirillov form.
Information
Published: 1 January 2012
First available in Project Euclid: 24 November 2018
zbMATH: 1266.32037
MathSciNet: MR2933809
Digital Object Identifier: 10.2969/aspm/06210523
Subjects:
Primary:
32S22
Secondary:
05E14
,
20F55
Keywords:
adjoint quotient
,
arrangements
,
logarithmic vector fields
Rights: Copyright © 2012 Mathematical Society of Japan
