2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/216219In this paper we obtain some explicit expressions for the Euler characteristic of a rank n coherent sheaf F on P^N and of its twists F(t) as polynomials in the Chern classes c_i(F), also giving algorithms for the computation. The employed methods use techniques of umbral calculus involving symmetric functions and Stirling numbers.12 pagesAlgebraic GeometryCombinatorics14F05, 05A40text