2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/54819In this paper the Maxwell field theory is considered on a closed and orientable Riemann surface of genus $h>1$. The solutions of the Maxwell equations corresponding to nontrivial values of the first Chern class are explicitly constructed for any metric in terms of the prime form.8 pages, TeX + harvmac, to appear in Lett. Math. PhysHigh Energy Physics - Theorytext