Comptes Rendus
no. 11
Algebraic geometry/Differential geometry
Residue formula for Morita–Futaki–Bott invariant on orbifolds
[Une formule résiduelle pour l'invariant de Morita–Futaki–Bott sur une orbifold]

Présenté par : Claire Voisin

Maurício Corrêa1 ; Miguel Rodríguez2
1 Dep. Matemática ICEx, UFMG, Campus Pampulha, 31270-901 Belo Horizonte, Brazil
2 Dep. Matemática, UFSJ, Praça Frei Orlando, 170, Centro, 36307-352 São João Del Rei, MG, Brazil
Comptes Rendus. Mathématique, Volume 354 (2016) no. 11, pp. 1109-1113.

On obtient, en utilisant les résidus de Grothendieck, une formule résiduelle pour l'invariant de Morita–Futaki–Bott par rapport à un champ de vecteurs holomorphes avec singularités isolées, dégénérées ou non.

In this work, we prove a residue formula for the Morita–Futaki–Bott invariant with respect to any holomorphic vector field, with isolated (possibly degenerated) singularities in terms of Grothendieck's residues.

Reçu le :
Accepté le :
Publié le :
DOI : 10.1016/j.crma.2016.10.006
Maurício Corrêa 1 ; Miguel Rodríguez 2

1 Dep. Matemática ICEx, UFMG, Campus Pampulha, 31270-901 Belo Horizonte, Brazil
2 Dep. Matemática, UFSJ, Praça Frei Orlando, 170, Centro, 36307-352 São João Del Rei, MG, Brazil 
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Maurício Corrêa; Miguel Rodríguez. Residue formula for Morita–Futaki–Bott invariant on orbifolds. Comptes Rendus. Mathématique, Volume 354 (2016) no. 11, pp. 1109-1113. doi : 10.1016/j.crma.2016.10.006. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2016.10.006/

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Cité par Sources :

☆ This work was partially supported by CNPq, CAPES, FAPEMIG and FAPESP-2015/20841-5.

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