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 , 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.
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@article{CRMATH_2007__344_5_317_0, author = {Herrera, Rafael}, title = {Elliptic genera of level {\protect\emph{N}} on complex $ {\pi }_{2}$-finite manifolds}, journal = {Comptes Rendus. Math\'ematique}, pages = {317--320}, publisher = {Elsevier}, volume = {344}, number = {5}, year = {2007}, doi = {10.1016/j.crma.2007.01.020}, language = {en}, url = {http://www.numdam.org/articles/10.1016/j.crma.2007.01.020/} }
TY - JOUR AU - Herrera, Rafael TI - Elliptic genera of level N on complex $ {\pi }_{2}$-finite manifolds JO - Comptes Rendus. Mathématique PY - 2007 SP - 317 EP - 320 VL - 344 IS - 5 PB - Elsevier UR - http://www.numdam.org/articles/10.1016/j.crma.2007.01.020/ DO - 10.1016/j.crma.2007.01.020 LA - en ID - CRMATH_2007__344_5_317_0 ER -
%0 Journal Article %A Herrera, Rafael %T Elliptic genera of level N on complex $ {\pi }_{2}$-finite manifolds %J Comptes Rendus. Mathématique %D 2007 %P 317-320 %V 344 %N 5 %I Elsevier %U http://www.numdam.org/articles/10.1016/j.crma.2007.01.020/ %R 10.1016/j.crma.2007.01.020 %G en %F CRMATH_2007__344_5_317_0
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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