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Comptes Rendus Mathématique
Volume 354, n° 11
pages 1109-1113 (novembre 2016)
Doi : 10.1016/j.crma.2016.10.006
Received : 9 June 2016 ;  accepted : 7 October 2016
Residue formula for Morita–Futaki–Bott invariant on orbifolds
Une formule résiduelle pour l'invariant de Morita–Futaki–Bott sur une orbifold
 

Maurício Corrêa a , Miguel Rodríguez b
a Dep. Matemática ICEx, UFMG, Campus Pampulha, 31270-901 Belo Horizonte, Brazil 
b Dep. Matemática, UFSJ, Praça Frei Orlando, 170, Centro, 36307-352 São João Del Rei, MG, Brazil 

Abstract

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.

The full text of this article is available in PDF format.
Résumé

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.

The full text of this article is available in PDF format.

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



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