Frobenius splitting and Derived category of toric varieties
Algebraic Geometry
2010-06-29 v1 Category Theory
Abstract
The splitting of the Frobenius direct image of line bundles on toric varieties is used to explicitly construct an orthogonal basis of line bundles in the derived category D^b(X) where X is a Fano toric variety with (almost) maximal Picard number.
Cite
@article{arxiv.1006.5315,
title = {Frobenius splitting and Derived category of toric varieties},
author = {L. Costa and R. M. Miró-Roig},
journal= {arXiv preprint arXiv:1006.5315},
year = {2010}
}
Comments
19 pages; To appear Illinois Journal of Mathematics