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