Transversely affine holomorphic foliations of arbitrary codimension - I

Bruno Scardua

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arXiv · 1411.0262

Transversely affine holomorphic foliations of arbitrary codimension - I

Bruno Scardua

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Abstract

We study holomorphic foliations with an affine homogeneous transverse structure. We give a friendly characterization of the case of transversely affine foliations in terms of matrix valued pairs of differential forms. This leads naturally to the study of the case of foliations with singularities. A first extension theorem is then proved in the generic singularities framework.

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Bruno Scardua. 2014-11-02. Transversely affine holomorphic foliations of arbitrary codimension - I. https://arxiv.org/abs/1411.0262

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