Brodmann, M (1992). Typical sheaves of generalized CM-modules. Manuscripta Mathematica, 76(1):181-192.
Let $M$ be a generalized Cohen-Macaulay module over a Noetherian local ring $(R,{\germ m})$. Fix a standard system of parameters $x_1,\cdots, x_d \in {\germ m}$ with respect to $M$ and let $I=\sum^d_{i=1} x_i R$. In this paper, we construct a coherent Cohen-Macaulay sheaf ${\scr K}$ over the projective space ${\bf P}^{d-1}_{R/I}$ whose cohomological Hilbert functions depend only on the lengths of the local cohomology modules $H^i_{\germ m} (M)$ $(i=0,\cdots, d-1)$.
Let $M$ be a generalized Cohen-Macaulay module over a Noetherian local ring $(R,{\germ m})$. Fix a standard system of parameters $x_1,\cdots, x_d \in {\germ m}$ with respect to $M$ and let $I=\sum^d_{i=1} x_i R$. In this paper, we construct a coherent Cohen-Macaulay sheaf ${\scr K}$ over the projective space ${\bf P}^{d-1}_{R/I}$ whose cohomological Hilbert functions depend only on the lengths of the local cohomology modules $H^i_{\germ m} (M)$ $(i=0,\cdots, d-1)$.
| Item Type: | Journal Article, refereed, original work |
|---|---|
| Communities & Collections: | 07 Faculty of Science > Institute of Mathematics |
| Dewey Decimal Classification: | 510 Mathematics |
| Scopus Subject Areas: | Physical Sciences > General Mathematics |
| Uncontrolled Keywords: | typical sheaf, Cohen-Macaulay module, system of parameters, cohomological Hilbert functions |
| Language: | English |
| Date: | 1992 |
| Deposited On: | 01 Jun 2010 14:20 |
| Last Modified: | 23 Jan 2022 14:47 |
| Publisher: | Springer |
| ISSN: | 0025-2611 |
| OA Status: | Closed |
| Free access at: | Related URL. An embargo period may apply. |
| Publisher DOI: | https://doi.org/10.1007/BF02567754 |
| Related URLs: | http://www.digizeitschriften.de/dms/img/?PPN=PPN365956996_0076&DMDID=dmdlog16 http://www.zentralblatt-math.org/zbmath/search/?q=an%3A0771.13005 |
Brodmann, M