Geometrical and Topological Properties of Real Polynomial Fibres |
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Authors: | Nicolas Dutertre |
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Affiliation: | (1) Centre de Recerca Mathemàtica, Institut d'Estudis Catalans, Apartat 50, E-08193 Bellaterra, Spain |
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Abstract: | We establish a Gauss—Bonnet type formula for a smooth fibre of a nonproper real polynomial of n . For this we need to study topological properties of a generic hyperplane section of this fibre. |
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Keywords: | affine hypersurfaces curvature Gauss– Bonnet formula |
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