Title :

Curvature and Gauss-Bonnet defect of global affine hypersurfaces

Author(s) :

Siersma, Dirk [Auteur]
Tibar, Mihai [Auteur]
Laboratoire Paul Painlevé - UMR 8524 [LPP]

Journal title :

Bulletin des Sciences Mathématiques

Pages :

110-122

Publisher :

Elsevier

Publication date :

2006

ISSN :

0007-4497

HAL domain(s) :

Mathématiques [math]/Géométrie différentielle [math.DG]
Mathématiques [math]/Géométrie algébrique [math.AG]
Mathématiques [math]/Variables complexes [math.CV]

English abstract : [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 ...
Show more >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.Show less >

Language :

Anglais

Popular science :

Non

Comment :

15 p., some changes in editing

Collections :

• Laboratoire Paul Painlevé - UMR 8524

Source :

Harvested from HAL