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Derived categories of families of Fano threefolds

Algebraic Geometry. 2025. Vol. 12. No. 4. P. 519–574.
Kuznetsov A.

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.

Research target: Mathematics
Language: English
DOI
Text on another site
Keywords: Fano threefoldsderived categories
Publication based on the results of:
Geometry of algebraic varieties, derived categories, motives, and metrics of special holonomy (2025)
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