Periods of 1-motives and transcendence.

DOI10.1016/S0022-314X(02)00002-1zbMath1067.11041OpenAlexW2035100180MaRDI QIDQ1867435

Cristiana Bertolin

Publication date: 2 April 2003

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

Full work available at URL: https://doi.org/10.1016/s0022-314x(02)00002-1

zbMATH Keywords

Transcendence, algebraic independence, transcendence degree, Schanuel's conjecture, periods, \(1\)-motives, Grothendieck conjecture, de Rham cohomology, Mumford-Tate groups

Mathematics Subject Classification ID

Elliptic curves over global fields (11G05) Transcendence (general theory) (11J81) Results involving abelian varieties (11J95)

Related Items (19)

The Mumford-Tate group of 1-motives ⋮ Model theory of special subvarieties and Schanuel-type conjectures ⋮ Pseudo-exponential maps, variants, and quasiminimality ⋮ Modular Ax-Lindemann-Weierstrass with derivatives ⋮ Third kind elliptic integrals and 1-motives ⋮ An abelian analogue of Schanuel's conjecture and applications ⋮ Exercices de style: a homotopy theory for set theory ⋮ Higher Ramanujan Equations and Periods of Abelian Varieties ⋮ A closure operator respecting the modular \(j\)-function ⋮ \(o\)-minimality and the André-Oort conjecture for \(\mathbb{C}^{n}\) ⋮ LOCAL INTERDEFINABILITY OF WEIERSTRASS ELLIPTIC FUNCTIONS ⋮ A Modular André–Oort Statement with Derivatives ⋮ A note on special values of 𝐿-functions ⋮ Tannakian duality for Anderson-Drinfeld motives and algebraic independence of Carlitz logarithms ⋮ A Schanuel condition for Weierstrass equations ⋮ Model theory of exponentials on Lie algebras ⋮ Solutions of equations involving the modular 𝑗 function ⋮ Elliptic Functions and Transcendence ⋮ Semi-abelian analogues of Schanuel conjecture and applications

Cites Work

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• Zum Periodenproblem
• Hodge cycles, motives, and Shimura varieties
• Universal extensions and one dimensional crystalline cohomology
• On Schanuel's conjectures
• Théorie de Hodge. III
• On a Stronger Version of the Schanuel-Ax Theorem
• Modular functions and transcendence questions
• Catégories tannakiennes
• On the De Rham cohomology of algebraic varieties

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