Pseudo-exponential maps, variants, and quasiminimality
From MaRDI portal
Publication:1643324
DOI10.2140/ant.2018.12.493OpenAlexW3105462224WikidataQ115497283 ScholiaQ115497283MaRDI QIDQ1643324
Publication date: 19 June 2018
Published in: Algebra \& Number Theory (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1512.04262
Kummer theoryexponential fieldscategoricitySchanuel conjectureAx-SchanuelpredimensionquasiminimalityZilber-Pink
Models of other mathematical theories (03C65) Other infinitary logic (03C75) Model theory of fields (12L12)
Related Items (12)
Ax-Schanuel for linear differential equations ⋮ Mini-workshop: Topological and differential expansions of o-minimal structures. Abstracts from the mini-workshop held November 27 -- December 3, 2022 ⋮ Exponential sums equations and tropical geometry ⋮ Independence relations for exponential fields ⋮ A closure operator respecting the modular \(j\)-function ⋮ Adequate predimension inequalities in differential fields ⋮ Blurred complex exponentiation ⋮ Existentially closed exponential fields ⋮ A weak version of the strong exponential closure ⋮ Standard conjectures in model theory, and categoricity of comparison isomorphisms: A model theory perspective ⋮ Solutions of equations involving the modular 𝑗 function ⋮ Differential existential closedness for the 𝑗-function
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Finitely presented exponential fields
- Exponentially closed fields and the conjecture on intersections with tori
- A new strongly minimal set
- Pseudo-exponentiation on algebraically closed fields of characteristic zero
- Classification theory for non-elementary classes. I: The number of uncountable models of \(\psi \in L_{\omega _ 1,\omega}\)
- The theory of the exponential differential equations of semiabelian varieties
- Periods of 1-motives and transcendence.
- Ind- and pro-definable sets
- A remark on transitivity of Galois action on the set of uniquely divisible abelian extensions in \(\text{Ext}^1(E(\overline {\mathbb {Q}}),\Lambda)\)
- Galois properties of points of finite order of elliptic curves
- Polynomial–exponential equations and Zilber's conjecture
- Some Definability Results in Abstract Kummer Theory
- LOCAL INTERDEFINABILITY OF WEIERSTRASS ELLIPTIC FUNCTIONS
- EXPONENTIAL SUMS EQUATIONS AND THE SCHANUEL CONJECTURE
- Exponential algebraicity in exponential fields
- A remark on Zilber's pseudoexponentiation
- On quasiminimal excellent classes
- RAISING TO POWERS IN ALGEBRAICALLY CLOSED FIELDS
- Generic solutions of equations with iterated exponentials
- Zero estimates with moving targets
- Quasiminimal structures and excellence
- Some Topics in Differential Algebraic Geometry I: Analytic Subgroups of Algebraic Groups
- Model completeness results for expansions of the ordered field of real numbers by restricted Pfaffian functions and the exponential function
This page was built for publication: Pseudo-exponential maps, variants, and quasiminimality