Incidence systems on Cartesian powers of algebraic curves

Abstract

We show that a reduct of the Zariski structure of an algebraic curve which is not locally modular interprets a field, answering a question of Zilber's.

major rewrite of the previous version

References in corpus (2)

• Revêtements étales et groupe fondamental (SGA 1)
• Local André-Oort conjecture for the universal abelian variety