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Uniqueness problem for meromorphic mappings with truncated multiplicities and few targets
Gerd Dethloff1; Tran Van Tan1
1 Université de Bretagne Occidentale, UFR Sciences et Techniques, Département de Mathématiques, 6, avenue Le Gorgeu, BP 452, 29275 Brest Cedex (France).
Annales de la Faculté des sciences de Toulouse : Mathématiques, Serie 6, Volume 15 (2006) no. 2, pp. 217-242.

In this paper, using techniques of value distribution theory, we give a uniqueness theorem for meromorphic mappings of ℂ m into ℂP n with truncated multiplicities and “few" targets. We also give a theorem of linear degeneration for such maps with truncated multiplicities and moving targets.

Dans cet article, on donne un théorème d’unicité pour des applications méromorphes de ℂ m dans ℂP n avec multiplicités coupées et avec « peu de » cibles. On donne aussi un théorème de dégénération linéaire pour des telles applications avec multiplicités coupées et avec des cibles mobiles. Les preuves utilisent des techniques de la distribution des valeurs.

DOI: 10.5802/afst.1120

Gerd Dethloff 1; Tran Van Tan 1

1 Université de Bretagne Occidentale, UFR Sciences et Techniques, Département de Mathématiques, 6, avenue Le Gorgeu, BP 452, 29275 Brest Cedex (France). 
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     title = {Uniqueness problem for meromorphic mappings with truncated multiplicities and few targets},
     journal = {Annales de la Facult\'e des sciences de Toulouse : Math\'ematiques},
     pages = {217--242},
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Gerd Dethloff; Tran Van Tan. Uniqueness problem for meromorphic mappings with truncated multiplicities and few targets. Annales de la Faculté des sciences de Toulouse : Mathématiques, Serie 6, Volume 15 (2006) no. 2, pp. 217-242. doi : 10.5802/afst.1120. https://afst.centre-mersenne.org/articles/10.5802/afst.1120/

[1] G. Dethloff; Tran Van Tan Uniqueness problem for meromorphic mappings with truncated multiplicities and moving targets, 2004 (Preprint math.CV/0405557)

[2] G. Dethloff; Tran Van Tan An extension of uniqueness theorems for meromorphic mappings, 2004 (Preprint math.CV/0405558)

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