New zero lemmas in commutative algebraic groups
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Publication:1359152
DOI10.1216/rmjm/1181072038zbMath0893.11027OpenAlexW1978795152MaRDI QIDQ1359152
Publication date: 10 August 1998
Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: http://math.la.asu.edu/~rmmc/rmj/vol26-3/contents/contents.htm
Algebraic independence; Gel'fond's method (11J85) Dimension theory, depth, related commutative rings (catenary, etc.) (13C15) Group varieties (14L10)
Related Items (11)
Quelques remarques sur des questions d'approximation diophantienne ⋮ Connecting interpolation and multiplicity estimates in commutative algebraic groups ⋮ A methodic approach to the transcendence and algebraic independence of values of analytic functions ⋮ Minorations de formes linéaires de logarithmes elliptiques ⋮ Study of the rational case of the theory of linear forms in logarithms ⋮ Multiplicity estimates on commutative algebraic groups ⋮ Mesures d’indépendance linéaire de logarithmes dans un groupe algébrique commutatif dans le cas rationnel ⋮ On the product theorem ⋮ Measures of linear independence of logarithms on a commutative algebraic group ⋮ Formes linéaires de logarithmes effectives sur les variétés abéliennes ⋮ Measures of simultaneous approximation for quasi-periods of Abelian varieties
Cites Work
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- A remark on the degree of commutative algebraic groups
- Commutative algebraic groups and intersections of quadrics
- Excess intersections and a correspondence principle
- Families of translations of commutative algebraic groups
- Multiplicity lemmas and intersections
- On alternative heights. III
- Une majoration de la fonction de Hilbert et ses conséquences pour l'interpolation algébrique
- Lemmes de zéros dans les groupes algébriques commutatifs
- Multiplicity estimates and the product theorem
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