Zero Estimate, by Damien Roy

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


In this chapter, we present the zero estimate of P. Philippon [P 1986a] in the context of linear commutative algebraic groups when no order of vanishing is prescribed. This result takes into account the multidegrees of the obstruction subgroup and improves in this way the earlier zero estimates of D. W. Masser [Ma 1981b] and D. W. Masser and G. Wüstholz [MaWü 19811 A refinement will be given in Chap. 8 when multiplicities are introduced.


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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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