Ax-Schanuel for linear differential equations

DOI10.1007/s00153-017-0602-3zbMath1476.12004arXiv1603.04712OpenAlexW2299759455MaRDI QIDQ1661684

Vahagn A. Aslanyan

Publication date: 16 August 2018

Published in: Archive for Mathematical Logic (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1603.04712

zbMATH Keywords

abstract differential equationAx-Schanuel theorempredimensionmodel-theoretic algebraHrushovski construction

Mathematics Subject Classification ID

Model-theoretic algebra (03C60) Differential algebra (12H05) Abstract differential equations (12H20) Model theory of fields (12L12)

Related Items (3)

Adequate predimension inequalities in differential fields ⋮ Ax-Schanuel and strong minimality for the \(j\)-function ⋮ Differential existential closedness for the 𝑗-function

Cites Work

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• Pseudo-exponentiation on algebraically closed fields of characteristic zero
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• Pseudo-exponential maps, variants, and quasiminimality
• On Schanuel's conjectures
• Model theory of special subvarieties and Schanuel-type conjectures
• EXPONENTIAL SUMS EQUATIONS AND THE SCHANUEL CONJECTURE
• Exponential algebraicity in exponential fields
• DEFINABILITY OF DERIVATIONS IN THE REDUCTS OF DIFFERENTIALLY CLOSED FIELDS

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