2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/133021We undertake a case study of two series of nonclassical Zariski geometries. We show that these geometries can be realised as representations of certain noncommutative $C^*$-algebras and introduce a natural limit construction which for each of the two series produces a classical U(1)-gauge field over a 2-dimensional Riemann surface.Quantum AlgebraLogic81D07, 81R60Non-commutative Zariski geometries and their classical limittext