Tameness in geometry and arithmetic: beyond o-minimality
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Publication:6119670
DOI10.4171/icm2022/117OpenAlexW4389775027MaRDI QIDQ6119670
Publication date: 24 March 2024
Published in: International Congress of Mathematicians (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.4171/icm2022/117
Rational points (14G05) Semi-analytic sets, subanalytic sets, and generalizations (32B20) Model theory (number-theoretic aspects) (11U09) Model theory of ordered structures; o-minimality (03C64)
Cites Work
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- About the mixed André-Oort conjecture: reduction to a lower bound for the pure case
- \(o\)-minimality and the André-Oort conjecture for \(\mathbb{C}^{n}\)
- Strong minimality and the \(j\)-function
- Torsion points on families of simple abelian surfaces and Pell's equation over polynomial rings (with an appendix by E. V. Flynn)
- Multiplicities of Noetherian deformations
- Rational points in periodic analytic sets and the Manin-Mumford conjecture
- On the number of zeros of Abelian integrals. A constructive solution of the infinitesimal Hilbert sixteenth problem
- A proof of Yomdin-Gromov's algebraic Lemma
- Finiteness theorems for abelian varieties over number fields.
- Volume growth and entropy
- Théorème de préparation pour les fonctions logarithmico-exponentielles. (Preparation theorem for logarithmico-exponential functions)
- On the number of algebraic points where an analytic transcendental function takes algebraic values
- The André-Oort conjecture for \(\mathcal A_g\)
- Faltings heights of abelian varieties with complex multiplication
- On the averaged Colmez conjecture
- Density of algebraic points on Noetherian varieties
- Isogeny estimates for abelian varieties, and finiteness theorems
- Definability of restricted theta functions and families of abelian varieties
- Pfaffian definitions of Weierstrass elliptic functions
- Complex cellular structures
- Counting rational points and lower bounds for Galois orbits
- Wilkie's conjecture for restricted elementary functions
- The rational points of a definable set
- Torsion points, Pell's equation, and integration in elementary terms
- Auxiliary Polynomials in Number Theory
- Quasialgebraic functions
- Local complexity growth for iterations of real analytic mappings and semicontinuity moduli of the entropy
- Lipschitz stratification of subanalytic sets
- Unlikely intersections in families of abelian varieties and the polynomial Pell equation
- Model completeness results for expansions of the ordered field of real numbers by restricted Pfaffian functions and the exponential function
- Effective Cylindrical Cell Decompositions for Restricted Sub-Pfaffian Sets
- Algorithms in real algebraic geometry
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