no. 4
Chern numbers of a Kupka component
Annales de l'Institut Fourier, Tome 44 (1994) no. 4, pp. 1219-1236.

On considère les feuilletages holomorphes singuliers de codimension 1 dans le projectif complexe de dimension n qui admettent une composante de Kupka compacte K. On montre que les classes de Chern du fibré tangent à K se comportent comme les classes de Chern d’une intersection complète et, comme corollaire, on déduit que K est une intersection complète dans certains cas.

We will consider codimension one holomorphic foliations represented by sections ω∈H 0 (ℙ n ,Ω 1 (k)), and having a compact Kupka component K. We show that the Chern classes of the tangent bundle of K behave like Chern classes of a complete intersection 0 and, as a corollary we prove that K is a complete intersection in some cases.

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     author = {Calvo-Andrade, Omegar and Soares, Marcio G.},
     title = {Chern numbers of a {Kupka} component},
     journal = {Annales de l'Institut Fourier},
     pages = {1219--1236},
     publisher = {Association des Annales de l{\textquoteright}institut Fourier},
     volume = {44},
     number = {4},
     year = {1994},
     doi = {10.5802/aif.1431},
     mrnumber = {95m:32045},
     zbl = {0811.32024},
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     url = {http://www.numdam.org/articles/10.5802/aif.1431/}
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Calvo-Andrade, Omegar; Soares, Marcio G. Chern numbers of a Kupka component. Annales de l'Institut Fourier, Tome 44 (1994) no. 4, pp. 1219-1236. doi : 10.5802/aif.1431. http://www.numdam.org/articles/10.5802/aif.1431/

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