Levi-Flat Hypersurfaces Tangent to Projective Foliations |
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| Authors: | Arturo Fernández-Pérez |
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| Affiliation: | 1. Departamento de Matemática—ICEX, Universidade Federal de Minas Gerais, UFMG, Av. Ant?nio Carlos 6627, C.P. 702, 30123-970, Belo Horizonte, MG, Brazil
2. Av. Ant?nio Carlos 6627, 31270-901, Belo Horizonte, MG, Brazil
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| Abstract: | Let M?? n be a singular real-analytic Levi-flat hypersurface tangent to a codimension-one holomorphic foliation (mathcal{F}) on ? n . For n≥3, we give sufficient conditions to guarantee the existence of degenerate singularities in M, (in the sense of Segre varieties) and as a consequence we prove that (mathcal{F}) can be defined by a global closed meromorphic 1-form. |
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