Moduli spaces of pfaffian representations of cubic three-folds and instanton bundles
Boundary of the moduli space of instanton bundles on projective space
Stability conditions on higher dimensional varieties and moduli spaces
| Full text | |
| Author(s): |
Jorge-Perez, Victor H.
;
Miranda-Neto, Cleto B.
Total Authors: 2
|
| Document type: | Journal article |
| Source: | COMMUNICATIONS IN ALGEBRA; v. 49, n. 6, p. 11-pg., 2021-01-16. |
| Abstract | |
We establish a prescribed upper bound for the projective dimension of a finitely generated module over a Cohen-Macaulay local ring (with canonical module) satisfying certain cohomological conditions. The central hypothesis is the vanishing of finitely many suitable Ext modules. We then derive corollaries which provide freeness criteria and a characterization of regular local rings. Finally, we raise two main questions related to our results; one generalizes a problem due to D. Jorgensen, and the other retrieves the long-standing Auslander-Reiten conjecture in the Gorenstein case. (AU) | |
| FAPESP's process: | 19/21843-2 - Local cohomology, homological problems and blowup algebras |
| Grantee: | Victor Hugo Jorge Pérez |
| Support Opportunities: | Research Grants - Visiting Researcher Grant - Brazil |