Gaps in Hochschild cohomology imply smoothness for commutative algebras
| dc.creator | Avramov, Luchezar | |
| dc.creator | Iyengar, Srikanth | |
| dc.date | 2004-12-13 | |
| dc.date | 2005-08-06 | |
| dc.date.accessioned | 2026-07-07T05:15:16Z | |
| dc.date.available | 2026-07-07T05:15:16Z | |
| dc.description | The paper concerns Hochschild cohomology of a commutative algebra S, which is essentially of finite type over a commutative noetherian ring K and projective as a K-module, with coefficients in an S-module M. It is proved that vanishing of HH^n(S|K,M) in sufficiently long intervals imply the smoothness of S_q over K for all prime ideals q in the support of M. In particular, S is smooth if HH^n(S|K,S)=0 for (dim S+2) consecutive non-negative integers n. | |
| dc.description | Minor revisions. To appear in Math. Res. Letters. 16 pages; available also at http://www.math.unl.edu/~siyengar | |
| dc.identifier | https://arxiv.org/abs/math/0412259 | |
| dc.identifier | http://arxiv.org/abs/math/0412259 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/73574 | |
| dc.subject | Commutative Algebra | |
| dc.subject | Rings and Algebras | |
| dc.subject | 13D03; 14B25. Secondary: 14M10; 16E40 | |
| dc.title | Gaps in Hochschild cohomology imply smoothness for commutative algebras | |
| dc.type | text |