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

Summary:

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.

Contents Full-Text PDF