Zero Estimate, by Damien Roy
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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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