Hostname: page-component-5c6d5d7d68-wtssw Total loading time: 0 Render date: 2024-08-17T01:00:27.888Z Has data issue: false hasContentIssue false
  • English
  • Français

On Characterization of Hypersurfaces of Degrees 2 and 3 in the Complex Projective Space

Published online by Cambridge University Press:  20 November 2018

Michal Szurek
Michal Szurek*
Affiliation:
Uniwersytet Warszawski, Instytut Matematyki, Palac Kultury, 9 Pietro, 00901, Warszawa, Poland University of Regina, Regina, Sask. S4S 0A2
Rights & Permissions [Opens in a new window]

Résumé

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

Le but de cette note est de proposer une caractérisation des espaces projectifs complexes, des hyperquadriques et des hypersurfaces du troisième degré dans Pnc à l'aide de leurs points d'intersection avec l'ensemble des zéros d'une section d'un fibre positif donné sur la variété ambiante. Ceci généralise et complète ainsi certains résultats présentés par Badescu et Itoh.

Keywords

primary 53C55secondary 53C1032C10
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 29 , Issue 1 , 01 March 1986 , pp. 74 - 78
Copyright
Copyright © Canadian Mathematical Society 1986

References

1. Badescu, L., On ample divisors, Nagoya Math. Journal, 86 (1982), pp. 155–171.Google Scholar
2. Griffiths, Ph. A., Hermitian differential geometry, Chem classes and positive vector bundles, Global Analysis, Tokyo-Princeton 1969, pp. 185–251.Google Scholar
3. Itoh, M., Characterizations of complex projective spaces by linear subspace sections, Tsukuba Math. Journ. 1 (1977), pp. 157–162.Google Scholar
4. Kobayashi, S. and Ochiai, T., Characterizations of complex projective spaces and hyperquadrics, J. Math. Kyoto Univ. 13 (1973), pp. 41–47.Google Scholar
5. Mori, Sh., On a generalization of complete intersection, Journ. Math. Kyoto Univ. 15 (1975), pp. 619–646.Google Scholar
6. Szurek, M., Kàhlerian deformations of some complex structures, Bull. Acad. Polon. Sci. XXXVI, 1978, pp. 878–885.Google Scholar