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Local Rings of Bounded Cohen–Macaulay Type

✍ Scribed by Graham J. Leuschke; Roger Wiegand


Publisher
Springer Netherlands
Year
2005
Tongue
English
Weight
249 KB
Volume
8
Category
Article
ISSN
1386-923X

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Local Rings of Finite Cohen–Macaulay Typ
✍ Roger Wiegand 📂 Article 📅 1998 🏛 Elsevier Science 🌐 English ⚖ 191 KB

Let R, m be a local Cohen᎐Macaulay ring whose m-adic completion R has an isolated singularity. We verify the following conjecture of F.-O. Schreyer: R has finite Cohen᎐Macaulay type if and only if R has finite Cohen᎐Macaulay type. We ww xx Ž . also show that the hypersurface k x , . . . , x r f has

Cohen-Macaulay Types of Cohen-Macaulay C
✍ T. Hibi 📂 Article 📅 1994 🏛 Elsevier Science 🌐 English ⚖ 750 KB

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

Castelnuovo Bounds for Locally Cohen-Mac
✍ Jürgen Stückrad; Wolfgang Vogel 📂 Article 📅 1988 🏛 John Wiley and Sons 🌐 English ⚖ 744 KB

## C-OVO'S regularity was first defined by Munr~oan [ 141, who attributes the idea to CABTEEXUOVO [4], for coherent sheaves on projective spaces. This regularity particularly provides upper bounds for the degrees of the syzygies of free resolutions of homogeneous ideals of a polynomial ring (see S