Derived categories of families of Fano threefolds

2022/02/24 by Kuznetsov, Alexander · 2 citations
#Algebraic Geometry (math.AG) #FOS: Mathematics

paper · doi:10.48550/arxiv.2202.12345

Abstract

We construct S-linear semiorthogonal decompositions of derived categories of smooth Fano threefold fibrations X/S with relative Picard rank 1 and rational geometric fibers and discuss how the structure of components of these decompositions is related to rationality properties of X/S.

Cited by

• Hilbert squares of genus 16 K3 surfaces
• Quintic del Pezzo threefolds in positive and mixed characteristic

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