|
|||||
|
|
Shapes of free resolutions over a local ring |
|
| Authors: | Christine Berkesch Daniel Erman Manoj Kummini Steven V. Sam |
| Affiliation: | 1. Institut Mittag-Leffler, Aurav?gen 17, 182 60, Djursholm, Sweden 2. Department of Mathematics, Stockholm University, 106 91, Stockholm, Sweden 3. Department of Mathematics, Duke University, Box 90320, Durham, NC, 27708, USA 4. Department of Mathematics, Stanford University, Stanford, CA, 94305, USA 5. Department of Mathematics, University of Michigan, Ann Arbor, MI, 48109, USA 6. Department of Mathematics, Purdue University, West Lafayette, IN, 47907, USA 7. Chennai Mathematical Institute, Siruseri, Tamilnadu, 603103, India 8. Department of Mathematics, Massachusetts Institute of Technology, Cambridge, MA, 02139, USA |
| Abstract: | We classify the possible shapes of minimal free resolutions over a regular local ring. This illustrates the existence of free resolutions whose Betti numbers behave in surprisingly pathological ways. We also give an asymptotic characterization of the possible shapes of minimal free resolutions over hypersurface rings. Our key new technique uses asymptotic arguments to study formal ${mathbb {Q}}$ -Betti sequences. |
| Keywords: | |
| 本文献已被 SpringerLink 等数据库收录！ | |