Integrality of $L^2$-Betti numbers
β Scribed by Thomas Schick
- Publisher
- Springer
- Year
- 2000
- Tongue
- English
- Weight
- 182 KB
- Volume
- 317
- Category
- Article
- ISSN
- 0025-5831
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
In this paper we prove parts of a conjecture of Herzog giving lower bounds on the rank of the free modules appearing in the linear strand of a graded kth syzygy module over the polynomial ring. If in addition the module is β«ήβ¬ n -graded we show that the conjecture holds in full generality. Furthermo
It is known that given a Hilbert function H H, there need not exist a module which has uniquely the smallest graded Betti numbers among all modules attaining H H. In this paper we extend the previous example of this behavior to an infinite family and demonstrate with a second infinite family that ev