The Lefschetz Theorem for Hyperplane Sections

Helmut A. Hamm () and Dũng Tráng Lê ()
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Helmut A. Hamm: Universität Münster, Mathematisches Institut
Dũng Tráng Lê: Université d’Aix-Marseille, Centre de Mathématiques et Informatique

Chapter Chapter 9 in Handbook of Geometry and Topology of Singularities I, 2020, pp 491-540 from Springer

Abstract: Abstract In these notes we consider different theorems of the Lefschetz type. We start with the classical Lefschetz Theorem for hyperplane sections on a non-singular projective variety. We show that this extends to the cases of a non-singular quasi-projective variety and to singular varieties. We also consider local forms of theorems of the Lefschetz type.

Date: 2020
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DOI: 10.1007/978-3-030-53061-7_9

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