I´m trying to solve a problem of cancellation of reflexive finitely generated modules over normal noetherian domains. When $R$ is regular domain with $\dim R \le 2$, 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 $M/IM\to N/IN$ can be lift to an homomorphism $M\to N...$"; *indescomponibles* maximal CM modules are welcome too.



About maximal Cohen-Macaulay modules
You probably want to look at this paper:
<http://www.springerlink.com/content/8r44x50448644568/>


on deformations of MCM modules and the references there. 


