Geodesic
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

Corrêa, Maurício1 ; Rodríguez, Miguel2
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, Tome 354 (2016) no. 11, pp. 1109-1113.

Voir la notice de l'article provenant de la source Numdam

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.

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.

Reçu le :
Accepté le :
Publié le :
DOI : 10.1016/j.crma.2016.10.006

Corrêa, Maurício 1 ; Rodríguez, Miguel 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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Corrêa, Maurício; Rodríguez, Miguel. Residue formula for Morita–Futaki–Bott invariant on orbifolds. Comptes Rendus. Mathématique, Tome 354 (2016) no. 11, pp. 1109-1113. doi : 10.1016/j.crma.2016.10.006. http://geodesic.mathdoc.fr/articles/10.1016/j.crma.2016.10.006/

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