Comptes Rendus
no. 9
Geometry/Differential geometry
Blowing-up points on locally conformally balanced manifolds
[Éclatement de points dans les variétés localement conformément équilibrées]

Présenté par : Claire Voisin

Zhao Lian1 ; Song Yang1
1 Department of Mathematics, Sichuan University, Chengdu, 610064 Sichuan, People's Republic of China
Comptes Rendus. Mathématique, Volume 352 (2014) no. 9, pp. 715-718.

Dans cette note, nous montrons que l'éclatement d'un point dans une variété localement conformément équilibrée admet aussi une structure de variété localement conformément équilibrée.

In this note, we show that the blowing-up of a point on a locally conformally balanced manifold also admits a locally conformally Balanced manifold structure.

Reçu le :
Accepté le :
Publié le :
DOI : 10.1016/j.crma.2014.07.005

Zhao Lian 1 ; Song Yang 1

1 Department of Mathematics, Sichuan University, Chengdu, 610064 Sichuan, People's Republic of China 
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Zhao Lian; Song Yang. Blowing-up points on locally conformally balanced manifolds. Comptes Rendus. Mathématique, Volume 352 (2014) no. 9, pp. 715-718. doi : 10.1016/j.crma.2014.07.005. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2014.07.005/

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[2] P. Griffiths; J. Harris Principles of Algebraic Geometry, Wiley, New York, 1978

[3] M. Michelsohn On the existence of special metrics in complex geometry, Acta Math., Volume 149 (1982), pp. 261-295

[4] F. Tricerri Some examples of locally conformal Kähler manifolds, Rend. Semin. Mat. (Torino), Volume 40 (1982), pp. 81-92

[5] C. Voisin Hodge Theory and Complex Algebraic Geometry I, Cambridge Studies in Advanced Mathematics, vol. 76, Cambridge University Press, 2003

[6] V. Vuletescu Blowing-up points on locally conformally Kähler manifolds, Bull. Math. Soc. Sci. Math. Roum., Volume 52 (2009), pp. 387-390

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