An arithmetic Riemann-Roch theorem for pointed stable curves

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/145774We prove an arithmetic Riemann-Roch theorem for pointed stable curves. We derive consequences for the Selberg zeta function of an open modular curve $Y_{1}(p)$ (resp. $Y_{0}(p)$), for a prime number $p\geq 11$ (resp. congruent to 11 modulo 12).44 pages, typos corrected, new references, more detailed introductionNumber TheoryAlgebraic Geometry14G40 (Primary); 11M36 (Secondary)An arithmetic Riemann-Roch theorem for pointed stable curvestext