A note on Maurin's theorem

DOI10.4171/RLM/570zbMath1209.11057MaRDI QIDQ991045

Umberto Zannier, Enrico Bombieri, Philipp Habegger, David W. Masser

Publication date: 2 September 2010

Published in: Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni (Search for Journal in Brave)

Full work available at URL: http://www.ems-ph.org/journals/show_abstract.php?issn=1120-6330&vol=21&iss=3&rank=2

zbMATH Keywords

Diophantine geometrymultiplicative dependenceZilber conjecture

Mathematics Subject Classification ID

Arithmetic ground fields for curves (14H25) [https://portal.mardi4nfdi.de/w/index.php?title=+Special%3ASearch&search=%22Curves+of+arbitrary+genus+or+genus+%28%0D%0Ae+1%29+over+global+fields%22&go=Go Curves of arbitrary genus or genus ( e 1) over global fields (11G30)] Varieties over global fields (11G35) Heights (11G50) Arithmetic ground fields for surfaces or higher-dimensional varieties (14J20)

Related Items (13)

Unlikely, likely and impossible intersections without algebraic groups ⋮ Unlikely intersections for curves in products of Carlitz modules ⋮ On the Skolem problem and some related questions for parametric families of linear recurrence sequences ⋮ Unlikely intersections of curves with algebraic subgroups in semiabelian varieties ⋮ An overview on problems of unlikely intersections in families of abelian varieties ⋮ Unlikely intersections for curves in additive groups over positive characteristic ⋮ Greatest common divisor results on semiabelian varieties and a conjecture of Silverman ⋮ Diophantine approximations. Abstracts from the workshop held April 17--23, 2022 ⋮ Finiteness theorems on elliptical billiards and a variant of the dynamical Mordell–Lang conjecture ⋮ On torsion anomalous intersections ⋮ Rational points on Grassmannians and unlikely intersections in tori ⋮ On elements of large order on elliptic curves and multiplicative dependent images of rational functions over finite fields ⋮ Binary polynomial power sums vanishing at roots of unity

Cites Work

• Algebraic curves and multiplicative equations.
• Finiteness results for multiplicatively dependent points on complex curves
• EXPONENTIAL SUMS EQUATIONS AND THE SCHANUEL CONJECTURE
• Intersecting curves and algebraic subgroups: Conjectures and more results
• On unlikely intersections of complex varieties with tori
• On the Bounded Height Conjecture
• Le problème de Lehmer en dimension supérieure
• Anomalous Subvarieties—Structure Theorems and Applications
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