Lefschetz Defect in Families
Algebraic Geometry
2025-01-20 v1
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.
Cite
@article{arxiv.2501.10192,
title = {Lefschetz Defect in Families},
author = {Matteo Verni},
journal= {arXiv preprint arXiv:2501.10192},
year = {2025}
}
Comments
15 pages