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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.

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up vote 4 down vote accepted

You probably want to look at this paper: http://www.springerlink.com/content/8r44x50448644568/

on deformations of MCM modules and the references there.

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It seems fine! thanks a lot! –  Francisco Perdomo Dec 16 '09 at 19:42
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This review seems perfect for your needs: Maximal Cohen-Macaulay modules over surface singularities (Burban, Drozd)

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¡Gracias! ¡Ya le había echado el ojo! –  Francisco Perdomo Dec 16 '09 at 19:41
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