The holomorphic Gauss Parametrization
classification
🧮 math.DG
keywords
parametrizationcomplexeuclideangaussholomorphichypersurfacesanalogueapplications
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We give a local parametric description of all holomorphic hypersurfaces in complex Euclidean and projective spaces with constant index of relative nullity, together with applications. This is a complex analogue to the parametrization for real hypersurfaces in Euclidean space known as the Gauss parametrization.
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