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edit approved Jul 9, 2017 at 7:17
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YCor
YCor
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How can I prove for For isolated singularity algebra every MCM, is every maximal Cohen-Macaulay module locally projective?

Let $R$ be a cohenCohen-macaulayMacaulay noetherian local ring. Let $\Lambda$ be a noethernoetherian $R$-algebra which is maximal cohenCohen-macaulayMacaulay as an $R$-module, where for every nonmaximal prime $\mathfrak{p}$, $\Lambda_{\mathfrak{p}}$ has finite global dimension. How can I prove that every $\Lambda$-module which is maximal cohenCohen-macaulay as an $R$-module, is locally projective on the punctured spectrum of $R$?

How can I prove for isolated singularity algebra every MCM is locally projective?

Let $R$ be a cohen-macaulay noetherian local ring. Let $\Lambda$ be a noether $R$-algebra which is maximal cohen-macaulay as an $R$-module, where for every nonmaximal prime $\mathfrak{p}$, $\Lambda_{\mathfrak{p}}$ has finite global dimension. How can I prove that every $\Lambda$-module which is maximal cohen-macaulay as an $R$-module, is locally projective on the punctured spectrum of $R$?

For isolated singularity algebra, is every maximal Cohen-Macaulay module locally projective?

Let $R$ be a Cohen-Macaulay noetherian local ring. Let $\Lambda$ be a noetherian $R$-algebra which is maximal Cohen-Macaulay as an $R$-module, where for every nonmaximal prime $\mathfrak{p}$, $\Lambda_{\mathfrak{p}}$ has finite global dimension. How can I prove that every $\Lambda$-module which is maximal Cohen-macaulay as an $R$-module, is locally projective on the punctured spectrum of $R$?

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Homa81
Homa81
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How can I prove for isolated singularity algebra every MCM is locally projective?

Let $R$ be a cohen-macaulay noetherian local ring. Let $\Lambda$ be a noether $R$-algebra which is maximal cohen-macaulay as an $R$-module, where for every nonmaximal prime $\mathfrak{p}$, $\Lambda_{\mathfrak{p}}$ has finite global dimension. How can I prove that every $\Lambda$-module which is maximal cohen-macaulay as an $R$-module, is locally projective on the punctured spectrum of $R$?