Abstract
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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© 2000 Springer-Verlag Berlin Heidelberg
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Waldschmidt, M. (2000). Zero Estimate, by Damien Roy. In: Diophantine Approximation on Linear Algebraic Groups. Grundlehren der mathematischen Wissenschaften, vol 326. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-11569-5_5
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DOI: https://doi.org/10.1007/978-3-662-11569-5_5
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-08608-3
Online ISBN: 978-3-662-11569-5
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