2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/136910We show that, over a local complete intersection, every possible variety is realized as the cohomological support variety of some module. Moreover, we show that the projective variety of a complete indecomposable maximal Cohen-Macaulay module is connected.8 pages, to appear in Proc. Amer. Math. SocCommutative Algebra13D07, 14M10text