The connection between a conjecture of Carlisle and Kropholler, now a theorem of Benson and Crawley-Boevey, and Grothendieck's Riemann-Roch and duality theorems
type: Item
instance of: scholarly article
title: The connection between a conjecture of Carlisle and Kropholler, now a theorem of Benson and Crawley-Boevey, and Grothendieck's Riemann-Roch and duality theorems
zbMATH Open document ID: 0851.13002
DOI: 10.1007/BF02566011
published in: Commentarii Mathematici Helvetici
publication date: 1996-02-22T00:00:00Z
full work available at URL: https://eudml.org/doc/140372
review text: The author shows that the essential points in the proof of the \textit{D. J. Benson} and \textit{W. W. Crawley-Boevey} theorem [Bull. Lond. Math. Soc. 27, No. 5, 435-440 (1995)], concerning the two top coefficients of the Poincaré series for the ring of invariants \(k[V]^G\) (where \(G\) is a finite group acting on a finite-dimensional vector space \(V\) linearly, \(k[V]\) is the symmetric algebra of \(V\)), can be derived from Grothendieck's Riemann-Roch theorem and the duality theorem.
Mathematics Subject Classification ID: 13A50
Mathematics Subject Classification ID: 13D40
Mathematics Subject Classification ID: 14C40
zbMATH DE Number: 838574
zbMATH Keywords: Poincaré series for the ring of invariants
zbMATH Keywords: Riemann-Roch theorem
Wikidata QID: Q123233016
author: Amnon Neeman
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 838574