Take the 2-minute tour ×
MathOverflow is a question and answer site for professional mathematicians. It's 100% free, no registration required.

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.

share|improve this question

2 Answers 2

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.

share|improve this answer
It seems fine! thanks a lot! –  Francisco Perdomo Dec 16 '09 at 19:42

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

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

Your Answer


By posting your answer, you agree to the privacy policy and terms of service.

Not the answer you're looking for? Browse other questions tagged or ask your own question.