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Elimination multihomogene

Part of the Lecture Notes in Mathematics book series (LNM,volume 1752)

Abstract

Ce chapitre et le chapitre 7 entendent donner des outils de géométrie diophantienne dans les espaces multiprojectifs c’est-Á-dire du type

$$ {\rm P} = {\rm P}_K^{n_1 } \times \cdots \times {\rm P}_K^{n_q } $$

oün1, ⋯n q sont des entiers naturels et K un corps de nombres. Pour la plupart nos résultats fournissent les généralisations naturelles d’énoncés connus dans le cas projectif (correspondant á q = 1) et dus principalement á P. Philippon (voir [PPh2] et [Jadj). On pourra comparer avec les approches de Y.V. Nesterenko [Nes2]

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Chapter’s author : Gaél RÉMOND.

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© 2001 Springer-Verlag Berlin Heidelberg

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(2001). Elimination multihomogene. In: Nesterenko, Y.V., Philippon, P. (eds) Introduction to Algebraic Independence Theory. Lecture Notes in Mathematics, vol 1752. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-44550-1_5

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  • DOI: https://doi.org/10.1007/3-540-44550-1_5

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-41496-4

  • Online ISBN: 978-3-540-44550-0

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