Lefschetz Defect in Families

2025/01/17 by Verni, Matteo · 1 citation
#14C20 #14C30 #14J45 #14K12 #Algebraic Geometry (math.AG) #FOS: Mathematics

paper · doi:10.48550/arxiv.2501.10192

Abstract

We provide a cohomological characterization of the Lefschetz defect of smooth complex projective varieties. As a consequence, we deduce that the Lefschetz defect of a smooth Fano variety is invariant under smooth deformation. We also characterize the Lefschetz defect of an abelian variety in terms of its isogeny factors, and study it in families.

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• On Casagrande-Druel Fano varieties with Lefschetz defect 2

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