Schanuel type conjectures and disjointness

DOI10.1007/s11139-023-00707-3arXiv2211.09556WikidataQ123297923 ScholiaQ123297923MaRDI QIDQ6060203

Sebastian Eterović, Isaac A. Broudy

Publication date: 3 November 2023

Published in: The Ramanujan Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2211.09556

zbMATH Keywords

Schanuel's conjecturelinear disjointness\(j\)-functioncomplex exponential\(G\)-disjointnessax-Schanuel

Mathematics Subject Classification ID

Modular and automorphic functions (11F03) Algebraic independence; Gel'fond's method (11J85) Transcendence (general theory) (11J81) Transcendence theory of elliptic and abelian functions (11J89)

Cites Work

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• Ax-Schanuel for the \(j\)-function
• Some consequences of Schanuel's conjecture
• The theory of the exponential differential equations of semiabelian varieties
• Semi-abelian analogues of Schanuel conjecture and applications
• An abelian analogue of Schanuel's conjecture and applications
• Ax-Schanuel for Shimura varieties
• On Schanuel's conjectures
• A closure operator respecting the modular \(j\)-function
• Exponential algebraicity in exponential fields
• A Schanuel property for exponentially transcendental powers
• A Schanuel property for j
• Some Topics in Differential Algebraic Geometry I: Analytic Subgroups of Algebraic Groups

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