Strong full exceptional collections on certain toric varieties with Picard number three via mutations

Abstract

In this paper, we study derived categories of certain toric varieties with Picard number three that are blowing-up another toric varieties along their torus invariant loci of codimension at most three. We construct strong full exceptional collections by using Orlov's blow-up formula and mutations.Comment: 17 pages, To apper in Le Matematich