APPROXIMATIONS FONCTIONNELLES DES COURBES DES ESPACES PROJECTIFS

DOI10.1142/S1793042111004502zbMath1231.11075OpenAlexW2040918469MaRDI QIDQ3173264

Patrice Philippon

Publication date: 27 September 2011

Published in: International Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s1793042111004502

zbMATH Keywords

function fieldapproximationHilbert functiontransfer lemmaalgebraic independence

Mathematics Subject Classification ID

Algebraic functions and function fields in algebraic geometry (14H05) Approximation in non-Archimedean valuations (11J61)

Related Items (1)

ZERO ORDER ESTIMATES FOR ANALYTIC FUNCTIONS

Cites Work

• Simultaneous approximation and algebraic independence
• On graded rings. I
• Sur l'approximation algébrique en degré de transcendance un. (On algebraic approximation in transcendence degree one)
• A methodic approach to the transcendence and algebraic independence of values of analytic functions
• Approximation by algebraic numbers
• Algebraic independence criteria.
• Algebraic approximations of points in projective spaces. I
• Approximation algébrique simultanée de nombres de Liouville
• Une majoration de la fonction de Hilbert et ses conséquences pour l'interpolation algébrique
• Criteria of algebraic independence with multiplicities and interpolation determinants
• Approximation diophantienne et indépendance algébrique de logarithmes
• Introduction to algebraic independence theory. With contributions from F. Amoroso, D. Bertrand, W. D. Brownawell, G. Diaz, M. Laurent, Yu. V. Nesterenko, K. Nishioka, P. Philippon, G. Rémond, D. Roy, M. Waldschmidt

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