This article is cited in 160 papers

Representable functors, Serre functors, and mutations

A. I. Bondal, M. M. Kapranov


Abstract: This paper studies the categorical version of the concept of mutations of an exceptional set, as used in the theory of vector bundles. The basic object of study is a triangulated category with a family of subcategories satisfying the so-called admissibility condition. A natural notion arising here is that of a Serre functor, effecting a certain duality in the triangulated category.
Bibliography: 16 titles.

UDC: 513.6

MSC: Primary 14F05, 18E30; Secondary 18F20

Received: 21.06.1988

 English version: Mathematics of the USSR-Izvestiya, 1990, 35:3, 519–541

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