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Interpolation on algebraic groups

Published online by Cambridge University Press:  21 June 2005

S. Fischler
S. Fischler
Affiliation:
Département de Mathématiques et Applications, École Normale Supérieure, 45 rue d'Ulm, 75230 Paris cedex 05, France Département de Mathématiques, Université Paris-Sud, Bâtiment 425, F-91405 Orsay cedex, Francestephane.fischler@math.u-psud.fr
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Abstract

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We prove an interpolation lemma with multiplicities on a commutative algebraic group. This statement is ‘dual’ to zero estimates used in transcendental number theory. The special case where no multiplicities are involved has been proved by Masser.

Keywords

algebraic groupinterpolationzero estimate14L10 (primary)11J9514L4014K25 (secondary)
Type
Research Article
Information
Compositio Mathematica , Volume 141 , Issue 4 , July 2005 , pp. 907 - 925
Copyright
Foundation Compositio Mathematica 2005