Atribución-NoComercial 4.0 InternacionalMira Albanés, John Jader (Thesis advisor)Madrid Marín, Johny Alejandro2019-06-242019-06-242011-09-11https://repositorio.unal.edu.co/handle/unal/8405bstract: In algebraic Geometry, an algebraic curve is an algebraic variety of dimension one. The Theory of à © hese curves was generally well developed in the nineteenth century. The regular differential projective algebraic curve may have poles in their model does not unique. In à © ste paper looks at the poles of a regular differential algebraic curve of a complete and irreducible invariant Ringtones © Terms of discrete local rings. Also © n addresses the Cartier operator and zeta function will, which encodes important properties of the curve. This consequence of the Riemann-Roch theorem, local duality and the reciprocity law for singular curves.application/pdfspaDerechos reservados - Universidad Nacional de Colombiahttp://creativecommons.org/licenses/by-nc/4.0/51 Matemáticas / MathematicsTrabajo de grado - Maestríahttp://bdigital.unal.edu.co/5017/info:eu-repo/semantics/openAccessPolos diferencialesRiemann-RochCurvas singularesCurves singularitiesFunction ZetaFunción zetaCartier