Incidence systems on Cartesian powers of algebraic curves

Assaf Hasson; Dmitry Sustretov

doi:10.4171/JEMS/1472

Incidence systems on Cartesian powers of algebraic curves

Assaf Hasson, Dmitry Sustretov

Department of Mathematics

Ben-Gurion University of the Negev

Research output: Contribution to journal › Article › peer-review

Abstract

We show that a non-locally modular reduct of the full Zariski structure of an algebraic curve interprets an infinite field.

Original language	American English
Pages (from-to)	1055-1105
Number of pages	51
Journal	Journal of the European Mathematical Society
Volume	27
Issue number	3
DOIs	https://doi.org/10.4171/JEMS/1472
State	Published - 1 Jan 2025

Keywords

non-local modularity
reducts of ACF
strongly minimal sets
Zilber trichotomy

All Science Journal Classification (ASJC) codes

General Mathematics
Applied Mathematics

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10.4171/JEMS/1472

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title = "Incidence systems on Cartesian powers of algebraic curves",

abstract = "We show that a non-locally modular reduct of the full Zariski structure of an algebraic curve interprets an infinite field.",

keywords = "non-local modularity, reducts of ACF, strongly minimal sets, Zilber trichotomy",

author = "Assaf Hasson and Dmitry Sustretov",

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KW - Zilber trichotomy

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Incidence systems on Cartesian powers of algebraic curves

Abstract

Keywords

All Science Journal Classification (ASJC) codes

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