Generalized Bernstein-Gelfand-Gelfand functors
type: Item
instance of: scholarly article
title: Generalized Bernstein-Gelfand-Gelfand functors
zbMATH Open document ID: 0774.14015
DOI: 10.1007/BF01199008
author: Hagen Meltzer
published in: Archiv der Mathematik
publication date: 1993-02-10T00:00:00Z
review text: In Funct. Anal. Appl. 12, 212-214 (1979); translation from Funkts. Anal. Prilozh. 12, No. 3, 66-67 (1978; Zbl 0402.14005), \textit{I. N. Bernstejn}, \textit{I. M. Gel'fand} and \textit{S. I. Gel'fand} gave an explicit description of the derived category \(D^ b(\text{coh} \mathbb{P}_ n)\) of coherent sheaves on \(\mathbb{P}_ n\). The present paper gives a generalization of this construction. It gives an explicit description of \(D^ b(\text{coh} X)\) for any nonsingular projective variety \(X\) which admits a very special coherent sheaf, called a special tilting sheaf.
reviewed by: Herbert Lange
Mathematics Subject Classification ID: 14F05
zbMATH DE Number: 119834
zbMATH Keywords: derived category
zbMATH Keywords: coherent sheaf
zbMATH Keywords: special tilting sheaf
MaRDI profile type: Publication
cites work: Tilting sheaves in representation theory of algebras
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full work available at URL: https://doi.org/10.1007/bf01199008
OpenAlex ID: W2001577458
description: scientific article; zbMATH DE number 119834