Sunday, 15 June 2008

ac.commutative algebra - About maximal Cohen-Macaulay modules

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 $M/IMto N/IN$ can be lift to an homomorphism $Mto N...$"; indescomponibles maximal CM modules are welcome too.

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