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

2017/02/16 by Wahei Hara, Hara, Wahei
Mathematics · #Advanced Combinatorial Mathematics #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Algebraic structures and combinatorial models #FOS: Mathematics

paper · pdf · doi:10.48550/arxiv.1702.05040

openalex publication_date 2017/02/16 · openalex created_date 2017/03/03 · openalex updated_date 2026/07/28

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.

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