most recent 30 from http://mathoverflow.net 2013-05-21T10:57:58Z http://mathoverflow.net/feeds/question/9051 http://www.creativecommons.org/licenses/by-nc/2.5/rdf http://mathoverflow.net/questions/9051/about-maximal-cohen-macaulay-modules Francisco Perdomo 2009-12-15T23:15:12Z 2009-12-16T13:35:19Z

<p>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. </p> <p>Now I´m studying the case dim R=2 and R normal. In this hypothesis, reflexive modules are <strong>maximal Cohen-Macaulay modules</strong>. </p> <p>I´m looking for <strong>references about this topic</strong>, with especial emphasis in <em>lifting of homomorphism</em> between factors of maximal CM modules: something like "... an homomorphism M/IM-->N/IN can be lift to an homomorphism M-->N..."; <em>indescomponibles</em> maximal CM modules are wellcome too.</p>

http://mathoverflow.net/questions/9051/about-maximal-cohen-macaulay-modules/9062#9062 Hailong Dao 2009-12-16T02:10:03Z 2009-12-16T02:10:03Z

<p>You probably want to look at this paper: <a href="http://www.springerlink.com/content/8r44x50448644568/" rel="nofollow">http://www.springerlink.com/content/8r44x50448644568/</a></p> <p>on deformations of MCM modules and the references there. </p>

http://mathoverflow.net/questions/9051/about-maximal-cohen-macaulay-modules/9103#9103 Alberto García-Raboso 2009-12-16T13:35:19Z 2009-12-16T13:35:19Z

<p>This review seems perfect for your needs: <a href="http://arxiv.org/abs/0803.0117" rel="nofollow">Maximal Cohen-Macaulay modules over surface singularities</a> (Burban, Drozd)</p>