Curvature and Gauss-Bonnet defect of global affine hypersurfaces

Dirk Siersma, Mihai Tibar

Research output: Contribution to journalArticleAcademicpeer-review


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.
Original languageEnglish
JournalBulletin des Sciences Mathematiques
Publication statusPublished - 1 Jul 2004


  • Differential Geometry
  • Algebraic Geometry
  • Complex Variables
  • 32S20 (Primary)
  • 53C65
  • 14B07
  • 32S30 (Secondary)


Dive into the research topics of 'Curvature and Gauss-Bonnet defect of global affine hypersurfaces'. Together they form a unique fingerprint.

Cite this