Derived Category of toric varieties with Picard number three

Arijit Dey, Michał Lasoń, Mateusz Michaƚek

Abstract


We construct a full, strongly exceptional collection of line bundles on the variety X that is the blow up of the projectivization of the vector bundle O_{Pn−1} ⊕ O_{Pn−1}(b_1) along a linear space of dimension n − 2, where b_1 is a non-negative integer.

Keywords


Derived Categories; Toric Fano 3-Folds; Frobenius Splitting; Full Strongly Excep- tional Sequences; King’s conjecture

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