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Limit of Tangents on Complex Surfaces

In: Handbook of Geometry and Topology of Singularities II

Author

Listed:
  • Tráng Dũng Lê

    (University of Aix-Marseille)

  • Jawad Snoussi

    (Universidad Nacional Autónoma de México, Instituto de Matemáticas, Unidad Cuernavaca
    Unidad Mixta Internacional CNRS, Laboratorio Solomon Lefschetz)

Abstract

In these notes we give an introduction on the limits of tangents to a complex analytic surface. We first describe the case of hypersurfaces, using integral dependence on ideals and equisingularity controlled by Milnor number, and then we discuss the case of general surfaces of $${\mathbb C}^N$$ C N using Whitney equisingularity and equivalent criteria.

Suggested Citation

  • Tráng Dũng Lê & Jawad Snoussi, 2021. "Limit of Tangents on Complex Surfaces," Springer Books, in: José Luis Cisneros-Molina & Dũng Tráng Lê & José Seade (ed.), Handbook of Geometry and Topology of Singularities II, chapter 0, pages 123-175, Springer.
    • Handle: RePEc:spr:sprchp:978-3-030-78024-1_3
    DOI: 10.1007/978-3-030-78024-1_3
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