Comptes Rendus
no. 11
Algebraic geometry/Differential geometry
Residue formula for Morita–Futaki–Bott invariant on orbifolds

Presented by: 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.

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.

Received:
Accepted:
Published online:
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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Cited by Sources:

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

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