Minimal extensions of algebraic groups and linear independence

DOI10.1006/jnth.2001.2638zbMath0997.11056OpenAlexW1974948316MaRDI QIDQ5950937

W. Dale Brownawell

Publication date: 2 January 2002

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jnth.2001.2638

zbMATH Keywords

\(t\)-groupconnected commutative algebraic groupextensions of \(t\)-modulesgeneralizations of Baker's theoremgroup for transcendencelinear independence of logarithms of algebraic pointsproducts of elliptic curvesquasi-periodic extensions of Drinfeld modulesuniformizable \(t\)-module

Mathematics Subject Classification ID

Transcendence theory of Drinfel'd and (t)-modules (11J93) Results involving abelian varieties (11J95)

Related Items (5)

Prolongations of \(t\)-motives and algebraic independence of periods ⋮ A rapid introduction to Drinfeld modules, \(t\)-modules, and \(t\)-motives ⋮ On periods of the third kind for rank 2 Drinfeld module ⋮ Periods of \(t\)-modules as special values ⋮ Algebraic independence of periods and logarithms of Drinfeld modules

Cites Work

• Der Überlagerungsradius gewisser algebraischer Kurven und die Werte der Betafunktion an rationalen Stellen
• Multiplicity estimates on group varieties
• \(t\)-motives
• Frattini covers and projective groups without the extension property
• Notes toward higher differential algebra
• Analytic homomorphisms into Drinfeld modules
• Derivatives of a Drinfeld module and transcendence
• Multiplicity lemmas and \(T\)-modules
• Transzendenzeigenschaften von Perioden elliptischer Integrale.
• Linear independence and divided derivatives of a Drinfeld module II
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