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VOL. 62 | 2012 Arrangements, multiderivations, and adjoint quotient map of type ADE
Masahiko Yoshinaga

Editor(s) Hiroaki Terao, Sergey Yuzvinsky

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

Rights: Copyright © 2012 Mathematical Society of Japan

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