Model theory of special subvarieties and Schanuel-type conjectures

DOI10.1016/j.apal.2015.02.002zbMath1370.03051arXiv1501.03301OpenAlexW1503138113WikidataQ123111468 ScholiaQ123111468MaRDI QIDQ2630831

B. I. Zil'ber

Publication date: 22 July 2016

Published in: Annals of Pure and Applied Logic (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1501.03301

zbMATH Keywords

Shimura varietiesspecial subvarietyZilber-Pink conjectureZariski geometriesperiod conjectureSchanuel-type conjectures

Mathematics Subject Classification ID

Model-theoretic algebra (03C60) Modular and Shimura varieties (14G35) Transcendence (general theory) (11J81) Classification theory, stability, and related concepts in model theory (03C45) Transcendence theory of elliptic and abelian functions (11J89)

Related Items (5)

Weak modular Zilber-Pink with derivatives ⋮ Ax-Schanuel for linear differential equations ⋮ DEFINABILITY OF DERIVATIONS IN THE REDUCTS OF DIFFERENTIALLY CLOSED FIELDS ⋮ Covers of abelian varieties as analytic Zariski structures ⋮ Adequate predimension inequalities in differential fields

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