Commutative algebraic groups and p-adic linear forms

• Autorzy: Clemens Fuchs , Duc Hiep Pham
• Języki publikacji: 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.

Kategorie tematyczne

• 11G99: None of the above, but in this section
• 14L10: Group varieties
• 11J86: Linear forms in logarithms; Baker's method

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Acta Arithmetica
• Rocznik: 2015
• Tom: 169
• Numer: 2
• Strony: 115-147

Daty

wydano

2015

Twórcy

autor

Clemens Fuchs

• Department of Mathematics, University of Salzburg, Hellbrunnerstr. 34, 5020 Salzburg, Austria

autor

Duc Hiep Pham

• Department of Mathematics, Hanoi National University of Education, 136 Xuan Thuy, Cau Giay, Hanoi, Vietnam

Identyfikatory

DOI

10.4064/aa169-2-2