Incidence systems on Cartesian powers of algebraic curves
Assaf Hasson
Ben Gurion University of the Negev, Be’er Sheva, IsraelDmitry Sustretov
KU Leuven, Leuven, Belgium

Abstract
We show that a non-locally modular reduct of the full Zariski structure of an algebraic curve interprets an infinite field.
Cite this article
Assaf Hasson, Dmitry Sustretov, Incidence systems on Cartesian powers of algebraic curves. J. Eur. Math. Soc. 27 (2025), no. 3, pp. 1055–1105
DOI 10.4171/JEMS/1472