2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/111536The space of abelian functions of a principally polarized abelian variety J is studied as a module over the ring D of global holomorphic differential operators on J. We construct a D-free resolution in case the theta divisor is non-singular. As an application, in the case of dimension 2 and 3, we construct a new linear basis of the space of abelian functions in terms of logarithmic derivatives of the higher dimensional sigma function.25 pagesAlgebraic GeometryQuantum Algebra14K25 (primary) 14H40,14H70 (secondary)text