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The Lefschetz Theorem for Hyperplane Sections

In: Handbook of Geometry and Topology of Singularities I

Author

Listed:
  • Helmut A. Hamm

    (Universität Münster, Mathematisches Institut)

  • Dũng Tráng Lê

    (Université d’Aix-Marseille, Centre de Mathématiques et Informatique)

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.

Suggested Citation

  • Helmut A. Hamm & Dũng Tráng Lê, 2020. "The Lefschetz Theorem for Hyperplane Sections," Springer Books, in: José Luis Cisneros Molina & Dũng Tráng Lê & José Seade (ed.), Handbook of Geometry and Topology of Singularities I, chapter 0, pages 491-540, Springer.
    • Handle: RePEc:spr:sprchp:978-3-030-53061-7_9
    DOI: 10.1007/978-3-030-53061-7_9
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