Multiplicity Estimate by Damien Roy

Part of the Grundlehren der mathematischen Wissenschaften book series (GL, volume 326)


This chapter refines the zero estimate of Chapter 5 by taking multiplicities into account. The main result that we shall present here is again essentially due to P. Philippon (see [P 1986a]) and again we restrict to commutative linear algebraic groups. This allows us to be more concrete and brings simplifications in the proof of the result. For an outline of the zero estimate of P. Philippon on a general commutative algebraic group, the reader may consult the expository papers [Bert 1987] and [Roy 2000b].


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Copyright information

© Springer-Verlag Berlin Heidelberg 2000

Authors and Affiliations

  1. 1.Institut de Mathématiques de JussieuUniversité Pierre et Marie Curie (Paris VI)Paris Cedex 05France

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