Zilber's notion of logically perfect structure: universal covers

DOI10.2140/mt.2024.3.647MaRDI QIDQ6593625

Andrés Villaveces, John T. Baldwin

Publication date: 27 August 2024

Published in: Model Theory (Search for Journal in Brave)

zbMATH Keywords

abelian varietiesShimura varietiesmodel theorymodular invariantsinfinitary logiccategoricitymodel theory of covers

Mathematics Subject Classification ID

History of mathematical logic and foundations (03-03) Classification theory, stability, and related concepts in model theory (03C45) Model theory (number-theoretic aspects) (11U09) Applications of model theory (03C98) Other infinitary logic (03C75) Model theory of fields (12L12)

Related Items (1)

Boris Zilber and the model-theoretic sublime

Cites Work

• Pseudo-exponentiation on algebraically closed fields of characteristic zero
• Classification theory for non-elementary classes. I: The number of uncountable models of \(\psi \in L_{\omega _ 1,\omega}\)
• Classification theory and the number of non-isomorphic models.
• On \(\ell\)-adic representations attached to modular forms
• Quasiminimal abstract elementary classes
• 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
• Model theory: groups, geometries and combinatorics. Abstracts from the workshop held January 12--18, 2020
• Some Definability Results in Abstract Kummer Theory
• On quasiminimal excellent classes
• Les Groupes ω-Stables de Rang Fini
• A trichotomy theorem for o-minimal structures
• Model Theory and the Philosophy of Mathematical Practice
• Model Theory
• UNIVERSAL COVERS OF COMMUTATIVE FINITE MORLEY RANK GROUPS
• Covers of multiplicative groups of algebraically closed fields of arbitrary characteristic
• Fundamentals of Stability Theory
• Differential Chow varieties exist
• CATEGORICITY OF MODULAR AND SHIMURA CURVES
• Quasiminimal structures and excellence
• WHAT IS...a Shimura Variety?
• COVERS OF THE MULTIPLICATIVE GROUP OF AN ALGEBRAICALLY CLOSED FIELD OF CHARACTERISTIC ZERO
• Categoricity in Power
• Logic with the quantifier “there exist uncountably many”
• On $ω_1$-categorical theories of abelian groups
• Modular Forms
• Generic differential equations are strongly minimal
• Nonelementary categoricity and projective locally o-minimal classes
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Zilber's notion of logically perfect structure: universal covers