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

  • Alessandro Bernardi
  • Sofia Tirabassi
Keywords: Derived Categories, Toric Fano 3-Folds, Frobenius Splitting, Full Strongly Excep- tional Sequences, King’s conjecture


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.