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Izv. Akad. Nauk SSSR Ser. Mat., 1989, Volume 53, Issue 6, Pages 1183–1205 (Mi izv1153)  

This article is cited in 69 scientific papers (total in 69 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.

Full text: PDF file (2716 kB)
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English version:
Mathematics of the USSR-Izvestiya, 1990, 35:3, 519–541

Bibliographic databases:

Document Type: Article
UDC: 513.6
MSC: Primary 14F05, 18E30; Secondary 18F20
Received: 21.06.1988

Citation: A. I. Bondal, M. M. Kapranov, “Representable functors, Serre functors, and mutations”, Izv. Akad. Nauk SSSR Ser. Mat., 53:6 (1989), 1183–1205; Math. USSR-Izv., 35:3 (1990), 519–541

Citation in format AMSBIB
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\paper Representable functors, Serre functors, and mutations
\jour Izv. Akad. Nauk SSSR Ser. Mat.
\yr 1989
\vol 53
\issue 6
\pages 1183--1205
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\transl
\jour Math. USSR-Izv.
\yr 1990
\vol 35
\issue 3
\pages 519--541
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    Citing articles on Google Scholar: Russian citations, English citations
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    This publication is cited in the following articles:
    1. M. M. Kapranov, “Mutations and serre functors on constructive bundles”, Funct. Anal. Appl., 24:2 (1990), 155–156  mathnet  crossref  mathscinet  zmath  isi
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