Incidence systems on Cartesian powers of algebraic curves

  • Assaf Hasson

    Ben Gurion University of the Negev, Be’er Sheva, Israel
  • Dmitry Sustretov

    KU Leuven, Leuven, Belgium
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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