Deformations of arithmetically Cohen-Macaulay subvarieties of pn
✍ Scribed by Giorgio Bolondi; Rosa Maria Mirò-Roig
- Publisher
- Springer
- Year
- 1989
- Tongue
- English
- Weight
- 247 KB
- Volume
- 64
- Category
- Article
- ISSN
- 0025-2611
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We say that a Cohen-Macaulay poset (partially ordered set) is "superior" if every open interxal \((x, y)\) of \(P^{*}\) with \(\mu_{p}(x, y) \neq 0\) is doubly Cohen-Macaulay. For example, if \(L=P^{\wedge}\) is a modular lattice, then the Cohen-Macaulay poset \(P\) is superior. We present a formula
In relation to degenerations of modules, we introduce several partial orders on the set of isomorphism classes of finitely generated modules over a noetherian commutative local ring. Our main theorem says that, under several special conditions, any degenerations of maximal Cohen-Macaulay modules are