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

Authors

  • Alessandro Bernardi
  • Sofia Tirabassi

Keywords:

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

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.

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