no. 5
Differential Geometry
Elliptic genera of level N on complex π2-finite manifolds
[Genres elliptiques du niveau N sur variétés complexes avec le deuxième groupe homotopie fini]

Présenté par : Jean-Pierre Demailly

Herrera, Rafael1
1 Centro de Investigación en Matemáticas, A.P. 402, Guanajuato, Gto., C.P. 36000, Mexico
Comptes Rendus. Mathématique, Tome 344 (2007) no. 5, pp. 317-320.

On montre la rigidité des genres elliptiques de niveau N sur les variétés complexes avec deuxième groupe d'homotopie fini et dotées d'actions de S1, et l'annulation du polynôme de Hilbert de son fibré vectoriel canonique.

We prove the rigidity of the elliptic genera of level N on complex manifolds with finite second homotopy group admitting circle actions, and the vanishing of the Hilbert polynomial of its canonical bundle.

Reçu le :
Accepté le :
Publié le :
DOI : 10.1016/j.crma.2007.01.020
Herrera, Rafael 1

1 Centro de Investigación en Matemáticas, A.P. 402, Guanajuato, Gto., C.P. 36000, Mexico 
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Herrera, Rafael. Elliptic genera of level N on complex $ {\pi }_{2}$-finite manifolds. Comptes Rendus. Mathématique, Tome 344 (2007) no. 5, pp. 317-320. doi : 10.1016/j.crma.2007.01.020. http://www.numdam.org/articles/10.1016/j.crma.2007.01.020/

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