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The Hilbert function of a maximal Cohen-Macaulay module

✍ Scribed by Tony J. Puthenpurakal

Publisher
Springer-Verlag
Year
2005
Tongue
French
Weight
257 KB
Volume
251
Category
Article
ISSN
0025-5874

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Let (A, m) be a d-dimensional Noetherian local ring, M a finite Cohen-Macaulay A-module of dimension r, and let I be an ideal of definition for M. We define the notion of minimal multiplicity of Cohen-Macaulay modules with respect to I and show that if M has minimal multiplicity with respect to I th

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where k is an algebraically closed field with char k = 3. Using Atiyah bundle classification over elliptic curves we describe the matrix factorizations of the graded, indecomposable reflexive R-modules, equivalently we describe explicitly the indecomposable bundles over the projective curve V (f ) βŠ‚