Connections on modules over quasi-homogeneous plane curves
| dc.creator | Eriksen, Eivind | |
| dc.date | 2006-03-10 | |
| dc.date | 2007-08-01 | |
| dc.date.accessioned | 2026-07-07T09:58:17Z | |
| dc.date.available | 2026-07-07T09:58:17Z | |
| dc.description | Let k be an algebraically closed field of characteristic 0, and let $A = k[x,y]/(f)$ be a quasi-homogeneous plane curve. We show that for any graded torsion free A-module M, there exists a natural graded integrable connection, i.e. a graded A-linear homomorphism $\nabla: \operatorname{Der}_k(A) \to \operatorname{End}_k(M)$ that satisfy the derivation property and preserves the Lie product. In particular, a torsion free module N over the complete local ring $B = \hat A$ admits a natural integrable connection if A is a simple curve singularity, or if A is irreducible and N is a gradable module. | |
| dc.description | AMS-LaTeX, 12 pages, minor changes. To appear in Comm. Algebra | |
| dc.identifier | https://arxiv.org/abs/math/0603259 | |
| dc.identifier | http://arxiv.org/abs/math/0603259 | |
| dc.identifier | Comm. Algebra 36 (2008), no. 8, 3032 - 3041 | |
| dc.identifier | doi:10.1080/00927870802110797 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/167665 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | Commutative Algebra | |
| dc.subject | 13N10, 13N15 | |
| dc.title | Connections on modules over quasi-homogeneous plane curves | |
| dc.type | text |