Derived categories of toric Fano 3-folds via the Frobenius morphism

Alessandro Bernardi, Sofia Tirabassi

Abstract


In [8, Conjecture 3.6], Costa and Miró-Roig state the following conjecture:


Every smooth complete toric Fano variety has a full strongly exceptional collection of line bundles. The goal of this article is to prove it for toric Fano 3-folds.


Keywords


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

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