Overview

If a finite subgroup then acts on and it is known that is Gorenstein if and only if is a subgroup. In this work, the authors begin with a classification of finite subgroups of including two types, (J) and (K), which have often been overlooked. They go on to present a general method for finding invariant polynomials and their relations to finite subgroups. The method is, in practice, substantially better than the classical method due to Noether. Some properties of quotient varieties are presented, along with a proof that has isolated singularities if and only if is abelian and 1 is not an eigenvalue of for every nontrivial. The authors also find minimal quotient generators of the ring of invariant polynomials and relations among them.

Full Product Details

Author:   Stephen Shing-Taung Yau ,  Yu Yung
Publisher:   American Mathematical Society
Imprint:   American Mathematical Society
Volume:   No. 505
Weight:   0.187kg
ISBN:  

9780821825679

ISBN 10:   0821825674
Pages:   88
Publication Date:   30 September 1993
Audience:   College/higher education ,  Professional and scholarly ,  Undergraduate ,  Postgraduate, Research & Scholarly
Format:   Paperback
Publisher's Status:   Active
Availability:   Temporarily unavailable  
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Table of Contents

Introduction Classification of finite subgroups of $SL(3,\mathbb C)$ The invariant polynomials and their relations of linear groups of $SL(3,\mathbb C)$ Gorenstein quotient singularities in dimension three.

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