The different notions of matings of pairs of equal degree polynomials are introduced and are related to each other as well as known results on matings. The possible obstructions to matings are identified and related. Moreover the relations between the polynomials and their matings are discussed and proved. Finally holomorphic motion properties of slow-mating are proved.
Les différentes notions d’accouplement d’une paire de polynômes de même degré sont introduites et sont reliées les unes aux autres ainsi que les résultats connus concernant les accouplements. Les obstructions possibles à l’accouplement sont reliées entr’elles et identifiées. De plus, les relations entre les polynômes et leur accouplement sont discutées et prouvées. Enfin on démontre des propriétés de mouvement holomorphe de l’accouplement lent.
@article{AFST_2012_6_21_S5_839_0,
author = {Carsten Lunde Petersen and Daniel Meyer},
title = {On {The} {Notions} of {Mating}},
journal = {Annales de la Facult\'e des sciences de Toulouse : Math\'ematiques},
pages = {839--876},
publisher = {Universit\'e Paul Sabatier, Institut de Math\'ematiques},
address = {Toulouse},
volume = {Ser. 6, 21},
number = {S5},
year = {2012},
doi = {10.5802/afst.1355},
mrnumber = {3088260},
zbl = {06167094},
language = {en},
url = {https://afst.centre-mersenne.org/articles/10.5802/afst.1355/}
}
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%0 Journal Article %A Carsten Lunde Petersen %A Daniel Meyer %T On The Notions of Mating %J Annales de la Faculté des sciences de Toulouse : Mathématiques %D 2012 %P 839-876 %V 21 %N S5 %I Université Paul Sabatier, Institut de Mathématiques %C Toulouse %U https://afst.centre-mersenne.org/articles/10.5802/afst.1355/ %R 10.5802/afst.1355 %G en %F AFST_2012_6_21_S5_839_0
Carsten Lunde Petersen; Daniel Meyer. On The Notions of Mating. Annales de la Faculté des sciences de Toulouse : Mathématiques, Serie 6, Volume 21 (2012) no. S5, pp. 839-876. doi : 10.5802/afst.1355. https://afst.centre-mersenne.org/articles/10.5802/afst.1355/
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