no. 2
Milnor number of pairs and pencils of plane holomorphic germs
[Le nombre de Milnor des paires et des pinceaux de germes holomorphes plans]
Bulletin de la Société Mathématique de France, Tome 143 (2015) no. 2, pp. 283-299

We introduce a Milnor number of pairs of plane holomorphic germs and investigate the relation between the Milnor numbers in a pencil of such functions.

Nous introduisons un nombre de Milnor pour les paires de germes holomorphes plans et nous étudions la relation entre les nombres de Milnor apparaissant dans un tel pinceau.

Publié le :
DOI : 10.24033/bsmf.2687
Classification : 32S10, 32S15
Keywords: Milnor number, pencils, holomorphic germs, bifurcation set
Mots-clés : Nombre de Milnor, pinceaux, ensemble de bifurcation 
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     title = {Milnor number of pairs and pencils of plane holomorphic germs},
     journal = {Bulletin de la Soci\'et\'e Math\'ematique de France},
     pages = {283--299},
     year = {2015},
     publisher = {Soci\'et\'e math\'ematique de France},
     volume = {143},
     number = {2},
     doi = {10.24033/bsmf.2687},
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     zbl = {1317.32055},
     language = {en},
     url = {https://www.numdam.org/articles/10.24033/bsmf.2687/}
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Szawlowski, Adrian. Milnor number of pairs and pencils of plane holomorphic germs. Bulletin de la Société Mathématique de France, Tome 143 (2015) no. 2, pp. 283-299. doi: 10.24033/bsmf.2687

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