2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/162091We consider 1-forms on, so called, essentially isolated determinantal singularities (a natural generalization of isolated ones), show how to define analogues of the Poincaré--Hopf index for them, and describe relations between these indices and the radial index. For isolated determinantal singularities, we discuss properties of the homological index of a holomorphic 1-form and its relation with the Poincaré--Hopf index.19 pagesAlgebraic Geometry14B05, 14M12, 58A10text