Generalized Bernstein-Gelfand-Gelfand functors
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.
scientific article; zbMATH DE number 119834