[Une formule résiduelle pour l'invariant de Morita–Futaki–Bott sur une orbifold]
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.
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@article{CRMATH_2016__354_11_1109_0,
author = {Corr\^ea, Maur{\'\i}cio and Rodr{\'\i}guez, Miguel},
title = {Residue formula for {Morita{\textendash}Futaki{\textendash}Bott} invariant on orbifolds},
journal = {Comptes Rendus. Math\'ematique},
pages = {1109--1113},
publisher = {Elsevier},
volume = {354},
number = {11},
year = {2016},
doi = {10.1016/j.crma.2016.10.006},
language = {en},
url = {http://www.numdam.org/articles/10.1016/j.crma.2016.10.006/}
}
TY - JOUR AU - Corrêa, Maurício AU - Rodríguez, Miguel TI - Residue formula for Morita–Futaki–Bott invariant on orbifolds JO - Comptes Rendus. Mathématique PY - 2016 SP - 1109 EP - 1113 VL - 354 IS - 11 PB - Elsevier UR - http://www.numdam.org/articles/10.1016/j.crma.2016.10.006/ DO - 10.1016/j.crma.2016.10.006 LA - en ID - CRMATH_2016__354_11_1109_0 ER -
%0 Journal Article %A Corrêa, Maurício %A Rodríguez, Miguel %T Residue formula for Morita–Futaki–Bott invariant on orbifolds %J Comptes Rendus. Mathématique %D 2016 %P 1109-1113 %V 354 %N 11 %I Elsevier %U http://www.numdam.org/articles/10.1016/j.crma.2016.10.006/ %R 10.1016/j.crma.2016.10.006 %G en %F CRMATH_2016__354_11_1109_0
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://www.numdam.org/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.
