2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/75415We deduce results on the dimension and connectedness of degeneracy loci of maps of finite modules $f:M\to N$ over a local noetherian ring $(A,{\mathfrak m})$. We show for instance that the expected determinantal bounds on the dimension of the t-$th$ degeneracy locus of $f$ hold if $f\in {\mathfrak m} Hom (M,N)$, and that this degeneracy locus is connected in the expected dimension provided $\hat A$ is a domain.17 pagesCommutative Algebra13C15; 13C40; 14M12text