Lie Atoms and their deformation theory
| dc.creator | Ran, Ziv | |
| dc.date | 2004-12-10 | |
| dc.date | 2007-05-29 | |
| dc.date.accessioned | 2026-07-07T08:06:37Z | |
| dc.date.available | 2026-07-07T08:06:37Z | |
| dc.description | A Lie atom is essentially a pair of Lie algebras and its deformation theory is that of deformations with respect to one algebra together with a trivialization with respect to the other. Such deformations occur commonly in Algebraic Geometry, for instance as deformations of subvarieties of a fixed ambient variety. Here we study some basic notions related to Lie atoms, focussing especially on their deformation theory, in particular the universal deformation. We introduce Jacobi-Bernoulli cohomology, which yields the deformation ring, and show that, under suitable hypotheses, infinitesimal deformations are classified by certain Kodaira-Spencer data.(minor corrections Feb'06/May'07; paper is to appear in GAFA) | |
| dc.identifier | https://arxiv.org/abs/math/0412204 | |
| dc.identifier | http://arxiv.org/abs/math/0412204 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/130666 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 14d15;32g10 | |
| dc.title | Lie Atoms and their deformation theory | |
| dc.type | text |