2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/59190Homology with values in a connection with possibly irregular singular points on an algebraic curve is defined, generalizing homology with values in the underlying local system for a connection with regular singular points. Integration defines a perfect pairing between de Rham cohomology with values in the connection and homology with values in the dual connection.latex 16 pages, one pictureAlgebraic Geometrytext