2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/158530We prove an equivariant Riemann-Roch formula for divisors on algebraic curves over perfect fields. By reduction to the known case of curves over algebraically closed fields, we first show a preliminary formula with coefficients in Q. We then prove and shed some further light on a divisibility result that yields a formula with integral coefficients. Moreover, we give variants of the main theorem for equivariant locally free sheaves of higher rank.20 pagesAlgebraic GeometryNumber TheoryRepresentation Theory14H30; 11R32; 20C20text