𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Pinching and Betti numbers

✍ Scribed by Dominique Hulin


Publisher
Springer
Year
1985
Tongue
English
Weight
261 KB
Volume
3
Category
Article
ISSN
0232-704X

No coin nor oath required. For personal study only.


πŸ“œ SIMILAR VOLUMES


Ricci curvature and betti numbers
✍ Guofang Wei πŸ“‚ Article πŸ“… 1997 πŸ› Springer-Verlag 🌐 English βš– 641 KB
Bounds for Betti Numbers
✍ Tim RΓΆmer πŸ“‚ Article πŸ“… 2002 πŸ› Elsevier Science 🌐 English βš– 144 KB

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€«ήšβ€¬ n -graded we show that the conjecture holds in full generality. Furthermo

Smallest Graded Betti Numbers
✍ Benjamin P Richert πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 153 KB

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