A quantitative version of the Absolute Subspace Theorem

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A Generalization of the Subspace Theorem With Polynomials of Higher Degree (2004, methodology): “We deduce our generalization from a general result on twisted heights on projective varieties (Theorem 2.1 in Section 2). Our main tools are the quantitative version of the Absolute Parametric Subspace Theorem by Evertse and Schlickewei [ 5, Theorem 1.2 ], as well as a lower bound by Evertse and Fer”
On integral points on surfaces (2002, methodology): “Also, the bounds may be obtained to be rather uniform with respect to the field k; one may use results due to Schlickewei, Evertse (as for instance in the Remark in [CZ, p. 271]) or more recent estimates by Evertse and Ferretti [EF]; this last paper uses the quantitative Subspace Theorem due to Ever”
A Skolem–Mahler–Lech theorem in positive characteristic and finite automata (2005, background): “, βd) may be given in terms of the number of generators of Γ and d (see [7,5,6]).”
Linear equations in variables which Lie in a multiplicative group (2002, methodology): “The following Proposition 10.1 is a very special case of Theorem 2.1 of [ 12 ].”