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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, Série 6, Tome 15 (2006) no. 2, pp. 217-242.

Dans cet article, on donne un théorème d’unicité pour des applications méromorphes de ℂm dans ℂPn 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.

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

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},
     publisher = {Universit\'e Paul Sabatier, Institut de Math\'ematiques},
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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, Série 6, Tome 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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