Derived category of toric varieties with small Picard number

Laura Costa, Rosa Maria Miró-Roig
2012 Central European Journal of Mathematics  
This paper aims to construct a full strongly exceptional collection of line bundles in the derived category D (X ), where X is the blow up of P − × P along a multilinear subspace P − −1 × P −1 of codimension 2 of P − × P . As a main tool we use the splitting of the Frobenius direct image of line bundles on toric varieties. MSC: 14F05, 14M25
doi:10.2478/s11533-012-0060-4 fatcat:qbi7f7eij5ef5e2o5zfir6mm7m