no. 1
Géométrie algébrique, Géométrie différentielle
On the Morse–Novikov Cohomology of blowing up complex manifolds
[Sur la cohomologie de Morse-Novikov des éclatements de variétés complexes]
Zou, Yongpan1
1 School of Mathematics and Statistics, Wuhan University, Wuhan 430072, P. R. China
Comptes Rendus. Mathématique, Tome 358 (2020) no. 1, pp. 67-77.

Inspiré par les récents travaux de S. Rao, S. Yang, X.-D. Yang et L. Meng sur les formules donnant le comportement des groupes de cohomologie de de Rham et Morse-Novikov dans les éclatements, nous donnons une nouvelle preuve simple de la formule pour la cohomologie de Morse-Novikov en introduisant le groupe de cohomologie de Morse-Novikov relatif via la cohomologie des faisceaux et en explicitant l’isomorphisme de la formule.

Inspired by the recent works of S. Rao–S. Yang–X.-D. Yang and L. Meng on the blow-up formulae for de Rham and Morse–Novikov cohomology groups, we give a new simple proof of the blow-up formula for Morse–Novikov cohomology by introducing the relative Morse–Novikov cohomology group via sheaf cohomology theory and presenting the explicit isomorphism therein.

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DOI : 10.5802/crmath.12
Zou, Yongpan 1

1 School of Mathematics and Statistics, Wuhan University, Wuhan 430072, P. R. China 
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Zou, Yongpan. On the Morse–Novikov Cohomology of blowing up complex manifolds. Comptes Rendus. Mathématique, Tome 358 (2020) no. 1, pp. 67-77. doi : 10.5802/crmath.12. http://www.numdam.org/articles/10.5802/crmath.12/

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