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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 82 scientific papers (total in 82 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.

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

Bibliographic databases:

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
\by A.~I.~Bondal, M.~M.~Kapranov
\paper Representable functors, Serre functors, and mutations
\jour Izv. Akad. Nauk SSSR Ser. Mat.
\yr 1989
\vol 53
\issue 6
\pages 1183--1205
\jour Math. USSR-Izv.
\yr 1990
\vol 35
\issue 3
\pages 519--541

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    3. A. I. Bondal, M. M. Kapranov, “Enhanced triangulated categories”, Math. USSR-Sb., 70:1 (1991), 93–107  mathnet  crossref  mathscinet  zmath  adsnasa  isi
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    5. A. I. Bondal, A. E. Polishchuk, “Homological properties of associative algebras: the method of helices”, Russian Acad. Sci. Izv. Math., 42:2 (1994), 219–260  mathnet  crossref  mathscinet  zmath  adsnasa  isi
    6. S. A. Kuleshov, D. O. Orlov, “Exceptional sheaves on del Pezzo surfaces”, Russian Acad. Sci. Izv. Math., 44:3 (1995), 479–513  mathnet  crossref  mathscinet  zmath  adsnasa  isi
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