This paper aims to construct a full strongly exceptional collection of line bundles in the derived category D b(X), where X is the blow up of ℙn−r ×ℙr along a multilinear subspace ℙn−r−1×ℙr−1 of codimension 2 of ℙn−r ×ℙr. As a main tool we use the splitting of the Frobenius direct image of line bundles on toric varieties.
@article{bwmeta1.element.doi-10_2478_s11533-012-0060-4,
author = {Laura Costa and Rosa Mir\'o-Roig},
title = {Derived category of toric varieties with small Picard number},
journal = {Open Mathematics},
volume = {10},
year = {2012},
pages = {1280-1291},
zbl = {1286.14032},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.doi-10_2478_s11533-012-0060-4}
}
Laura Costa; Rosa Miró-Roig. Derived category of toric varieties with small Picard number. Open Mathematics, Tome 10 (2012) pp. 1280-1291. http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_2478_s11533-012-0060-4/
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