Curvature and Gauss-Bonnet defect of global ...
Type de document :
Compte-rendu et recension critique d'ouvrage
Titre :
Curvature and Gauss-Bonnet defect of global affine hypersurfaces
Auteur(s) :
Titre de la revue :
Bulletin des Sciences Mathématiques
Pagination :
110-122
Éditeur :
Elsevier
Date de publication :
2006
ISSN :
0007-4497
Discipline(s) HAL :
Mathématiques [math]/Géométrie différentielle [math.DG]
Mathématiques [math]/Géométrie algébrique [math.AG]
Mathématiques [math]/Variables complexes [math.CV]
Mathématiques [math]/Géométrie algébrique [math.AG]
Mathématiques [math]/Variables complexes [math.CV]
Résumé en anglais : [en]
The 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 ...
Lire la suite >The 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.Lire moins >
Lire la suite >The 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.Lire moins >
Langue :
Anglais
Vulgarisation :
Non
Commentaire :
15 p., some changes in editing
Collections :
Source :
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