A conjecture of Ax and degenerations of Fano varieties

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/106258James Ax conjectured that every pseudo algebraically closed field is $C_1$. We prove this conjecture in characteristic 0 by relating it to degenerations of Fano varieties.Algebraic GeometryNumber Theory12E30 14J45 (primary) 11U05 14G27 (secondary)A conjecture of Ax and degenerations of Fano varietiestext