Commutative algebraic groups and p-adic linear forms

Clemens Fuchs, and Duc Hiep Pham. "Commutative algebraic groups and p-adic linear forms." Acta Arithmetica 169.2 (2015): 115-147. <http://eudml.org/doc/286404>.

@article{ClemensFuchs2015,
abstract = {Let G be a commutative algebraic group defined over a number field K that is disjoint over K from $_\{a\}$ 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.},
author = {Clemens Fuchs, Duc Hiep Pham},
journal = {Acta Arithmetica},
keywords = {commutative algebraic groups; linear forms; effective results; heights},
language = {eng},
number = {2},
pages = {115-147},
title = {Commutative algebraic groups and p-adic linear forms},
url = {http://eudml.org/doc/286404},
volume = {169},
year = {2015},
}

TY - JOUR
AU - Clemens Fuchs
AU - Duc Hiep Pham
TI - Commutative algebraic groups and p-adic linear forms
JO - Acta Arithmetica
PY - 2015
VL - 169
IS - 2
SP - 115
EP - 147
AB - Let G be a commutative algebraic group defined over a number field K that is disjoint over K from $_{a}$ 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.
LA - eng
KW - commutative algebraic groups; linear forms; effective results; heights
UR - http://eudml.org/doc/286404
ER -