Back to Search
Start Over
Betti numbers of determinantal ideals
- Source :
-
Journal of Algebra . Dec2007, Vol. 318 Issue 2, p653-668. 16p. - Publication Year :
- 2007
-
Abstract
- Abstract: Let be a polynomial ring and let be a graded ideal. In [T. Römer, Betti numbers and shifts in minimal graded free resolutions, arXiv: AC/070119], Römer asked whether under the Cohen–Macaulay assumption the ith Betti number can be bounded above by a function of the maximal shifts in the minimal graded free R-resolution of as well as bounded below by a function of the minimal shifts. The goal of this paper is to establish such bounds for graded Cohen–Macaulay algebras when I is a standard determinantal ideal of arbitrary codimension. We also discuss other examples as well as when these bounds are sharp. [Copyright &y& Elsevier]
- Subjects :
- *POLYNOMIAL rings
*ALGEBRA
*MATHEMATICAL analysis
*MATHEMATICS
Subjects
Details
- Language :
- English
- ISSN :
- 00218693
- Volume :
- 318
- Issue :
- 2
- Database :
- Academic Search Index
- Journal :
- Journal of Algebra
- Publication Type :
- Academic Journal
- Accession number :
- 27629333
- Full Text :
- https://doi.org/10.1016/j.jalgebra.2007.07.015