Curvature and Gauss-Bonnet defect of global affine hypersurfaces

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dc.creatorSiersma, Dirk
dc.creatorTibar, Mihai
dc.date2004-07-05
dc.date2004-11-12
dc.date.accessioned2026-07-07T06:25:23Z
dc.date.available2026-07-07T06:25:23Z
dc.descriptionThe total curvature of complex hypersurfaces in $\bC^{n+1}$ and its variation in families appear to depend not only on singularities but also on the behaviour in the neighbourhood of infinity. We find the asymptotic loss of total curvature towards infinity and we express the total curvature and the Gauss-Bonnet defect in terms of singularities and tangencies at infinity.
dc.description15 p., some changes in editing
dc.identifierhttps://arxiv.org/abs/math/0407056
dc.identifierhttp://arxiv.org/abs/math/0407056
dc.identifierBull Sci Math, 130 (2006), no.2, 110--122.
dc.identifierdoi:10.1016/j.bulsci.2005.08.003
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/96816
dc.subjectDifferential Geometry
dc.subjectAlgebraic Geometry
dc.subjectComplex Variables
dc.subject32S20 (Primary); 53C65; 14B07; 32S30 (Secondary)
dc.titleCurvature and Gauss-Bonnet defect of global affine hypersurfaces
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