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Remarks on the Versal Families of Deformations of Holomorphic and Transversely Holomorphic Foliations

In: Deformations of Mathematical Structures

Author

Listed:
  • Xavier Gómez Mont

    (Universidad Nacional, Instituto de Matematicas)

  • Duraiswami Sundararaman

    (Centro de Investigacion y de Estudios Avanzados, Departamento de Matematicas)

Abstract

After a brief discussion of holomorphic and transversely holomorphic nonsingular foliations the authors concentrate on constructing versal space of deformations of a holomorphic foliation with singularities in a compact manifold and describe a homological method to construct the tangent space to the versal space. Finally holomorphic foliations by curves are discussed.

Suggested Citation

  • Xavier Gómez Mont & Duraiswami Sundararaman, 1989. "Remarks on the Versal Families of Deformations of Holomorphic and Transversely Holomorphic Foliations," Springer Books, in: Julian Ławrynowicz (ed.), Deformations of Mathematical Structures, pages 205-213, Springer.
    • Handle: RePEc:spr:sprchp:978-94-009-2643-1_19
    DOI: 10.1007/978-94-009-2643-1_19
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