Multiplicity estimates, interpolation, and transcendence theory

2011 ◽  
pp. 475-498 ◽  
Author(s):  
Michael Nakamaye
Keyword(s):  
Multiplicity Estimates

Multiplicity estimates and degeneration

2013 ◽  
Vol 143 (1-2) ◽  
pp. 239-251
Author(s):  
Stéphane Fischler ◽  
Michael Nakamaye
Keyword(s):  
Multiplicity Estimates

Multiplicity Estimates on Group Varieties

1989 ◽  
Vol 129 (3) ◽  
pp. 471 ◽  
Author(s):  
G. Wustholz
Keyword(s):  
Multiplicity Estimates

Multiplicity estimates for analytic functions II

1980 ◽  
Vol 47 (2) ◽  
pp. 273-295 ◽  
Author(s):  
W. D. Brownawell ◽  
D. W. Masser
Keyword(s):  
Analytic Functions ◽  
Multiplicity Estimates

scholarly journals APPROXIMATIONS FONCTIONNELLES DES COURBES DES ESPACES PROJECTIFS

2011 ◽  
Vol 07 (05) ◽  
pp. 1195-1215 ◽  
Author(s):  
PATRICE PHILIPPON
Keyword(s):  
Diophantine Approximation ◽  
Function Field ◽  
Algebraic Closure ◽  
Algebraic Independence ◽  
Projective Spaces ◽  
Higher Dimension ◽  
Algebraic Numbers ◽  
Flexible Approach ◽  
Algebraic Approximation ◽  
Multiplicity Estimates

Algebraic approximation to points in projective spaces offers a new and more flexible approach to algebraic independence theory. When working over the field of algebraic numbers, it leads to open conjectures in higher dimension extending known results in Diophantine approximation. We show here that over the algebraic closure of a function field in one variable, the analog of these conjectures is true. We also derive transfer lemmas which have applications in the study of multiplicity estimates, for example.

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