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

Xavier Gómez Mont and Duraiswami Sundararaman
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Xavier Gómez Mont: Universidad Nacional, Instituto de Matematicas
Duraiswami Sundararaman: Centro de Investigacion y de Estudios Avanzados, Departamento de Matematicas

A chapter in Deformations of Mathematical Structures, 1989, pp 205-213 from Springer

Abstract: 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.

Keywords: Versal Space; Complex Manifold; Versal Family; Compact Complex Manifold; Invertible Sheaf (search for similar items in EconPapers)
Date: 1989
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-94-009-2643-1_19

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DOI: 10.1007/978-94-009-2643-1_19

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