Zero estimates on group varieties. II

DOI10.1007/BF01388605zbMath0564.10041OpenAlexW2065664986MaRDI QIDQ1057917

Gisbert Wüstholz, David W. Masser

Publication date: 1985

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/143229

zbMATH Keywords

algebraic groupsmultiplicityzero estimateslinear forms in logarithmsBaker's theorycommutative group varietyderivations along one-parameter subgroupmultihomogeneous polynomialsmultiprojective varieties

Mathematics Subject Classification ID

Algebraic independence; Gel'fond's method (11J85) Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral) (30C15) Transcendence (general theory) (11J81) Projective techniques in algebraic geometry (14N05) Group varieties (14L10)

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Algebraic groups and small transcendence degree. I ⋮ Commutative algebraic groups and refinements of the Gelfond-Feldman measure ⋮ Factorization estimates for Abelian varieties ⋮ Linear forms in the logarithms of three positive rational numbers ⋮ Multiplicity estimates and the product theorem ⋮ Multiplicities of Noetherian deformations ⋮ Pfaffian intersections and multiplicity cycles ⋮ LOCAL INTERDEFINABILITY OF WEIERSTRASS ELLIPTIC FUNCTIONS ⋮ Auxiliary functions in transcendental number theory ⋮ Unnamed Item ⋮ Estimating isogenies on elliptic curves ⋮ Obituary of Alan Baker FRS ⋮ Lemmes de zéros dans les groupes algébriques commutatifs ⋮ A Diophantine Problem on Elliptic Curves ⋮ Über das Abelsche Analogon des Lindemannschen Satzes. I ⋮ Commutative algebraic groups and p-adic linear forms ⋮ Algebraic independence of values of elliptic functions ⋮ On the measure of algebraic independence of certain values of elliptic functions

Cites Work

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• Über das Abelsche Analogon des Lindemannschen Satzes. I
• Multiplicity estimates for analytic functions. II
• Zero estimates on group varieties. I
• Algebraic Groups and Algebraic Dependence
• Linear forms in elliptic logarithms

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