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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.

flag	asked Dec 15 2009 at 23:15 Francisco Perdomo 166●7

Hailong Dao · Accepted Answer · 2009-12-16 02:10:03Z UTC

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

on deformations of MCM modules and the references there.

answered Dec 16 2009 at 2:10

Hailong Dao
15.4k●29●69

It seems fine! thanks a lot! – Francisco Perdomo Dec 16 2009 at 19:42

Alberto García-Raboso · Answer 2 · 2009-12-16 13:35:19Z UTC

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This review seems perfect for your needs: Maximal Cohen-Macaulay modules over surface singularities (Burban, Drozd)

answered Dec 16 2009 at 13:35

Alberto García-Raboso
2,148●1●9●22

¡Gracias! ¡Ya le había echado el ojo! – Francisco Perdomo Dec 16 2009 at 19:41

About maximal Cohen-Macaulay modules

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