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Acta Arithmetica

2015 | 169 | 2 | 115-147

Commutative algebraic groups and p-adic linear forms

EN

Abstrakty

EN
Let G be a commutative algebraic group defined over a number field K that is disjoint over K from $𝔾_{a}$ and satisfies the condition of semistability. Consider a linear form l on the Lie algebra of G with algebraic coefficients and an algebraic point u in a p-adic neighbourhood of the origin with the condition that l does not vanish at u. We give a lower bound for the p-adic absolute value of l(u) which depends up to an effectively computable constant only on the height of the linear form, the height of the point u and p.

115-147

wydano
2015

Twórcy

autor
• Department of Mathematics, University of Salzburg, Hellbrunnerstr. 34, 5020 Salzburg, Austria
autor
• Department of Mathematics, Hanoi National University of Education, 136 Xuan Thuy, Cau Giay, Hanoi, Vietnam