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Moscow Mathematical Journal

Volume 16, Issue 4, October–December 2016  pp. 691–709.

On Full Exceptional Collections of Line Bundles on del Pezzo Surfaces

Authors:  Alexey Elagin (1) and Valery Lunts (2)
Author institution:(1) Institute for Information Transmission Problems (Kharkevich Institute), Moscow, RUSSIA, and National Research University Higher School of Economics, Moscow, RUSSIA
(2) Indiana University, Bloomington, USA


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.

2010 Math. Subj. Class. 14F05, 14J26, 14C20.

Keywords: Del Pezzo surface, exceptional collection, line bundle.

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