I´m trying to solve a problem of cancellation of reflexive finitely generated modules over normal noetherian domains. When R is regular domain with dim R less than or equal to 2, for finitely generated modules, reflexive is equivalent to projective.
Now I´m studying the case dim R=2 and R normal. In this hypothesis, reflexive modules are maximal Cohen-Macaulay modules.
I´m looking for references about this topic, with especial emphasis in lifting of homomorphism between factors of maximal CM modules: something like "... an homomorphism M/IM-->N/IN can be lift to an homomorphism M-->N..."; indescomponibles maximal CM modules are wellcome too.