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Moscow Mathematical Journal, 2016, Volume 16, Number 4, Pages 691–709
DOI: https://doi.org/10.17323/1609-4514-2016-16-4-691-709 (Mi mmj617) 		 
This article is cited in 9 scientific papers (total in 9 papers)

On full exceptional collections of line bundles on del Pezzo surfaces

Alexey Elaginab, Valery Luntsc

a Institute for Information Transmission Problems (Kharkevich Institute), Moscow, RUSSIA
b National Research University Higher School of Economics, Moscow, RUSSIA
c Indiana University, Bloomington, USA
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DOI: https://doi.org/10.17323/1609-4514-2016-16-4-691-709
Abstract: We prove that any numerically exceptional collection of maximal length, consisting of line bundles, on a smooth del Pezzo surface is a standard augmentation in the sense of L. Hille and M. Perling. We deduce that any such collection is exceptional and full.
Key words and phrases: del Pezzo surface, exceptional collection, line bundle.
Funding agency Grant number
Russian Science Foundation 14-50-00150
The research was carried out at the IITP RAS at the expense of the Russian Foundation for Sciences (project 14-50-00150).
Received: April 7, 2016; in revised form July 18, 2016
Bibliographic databases:
Document Type: Article
MSC: 14F05, 14J26, 14C20
Language: English
Citation: Alexey Elagin, Valery Lunts, “On full exceptional collections of line bundles on del Pezzo surfaces”, Mosc. Math. J., 16:4 (2016), 691–709
Citation in format AMSBIB
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\by Alexey~Elagin, Valery~Lunts
\paper On full exceptional collections of line bundles on del Pezzo surfaces
\jour Mosc. Math.~J.
\yr 2016
\vol 16
\issue 4
\pages 691--709
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\crossref{https://doi.org/10.17323/1609-4514-2016-16-4-691-709}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3598503}
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