Embeddings of submanifolds and normal bundles
| dc.creator | Abate, Marco | |
| dc.creator | Bracci, Filippo | |
| dc.creator | Tovena, Francesca | |
| dc.date | 2006-12-15 | |
| dc.date.accessioned | 2026-07-07T07:35:23Z | |
| dc.date.available | 2026-07-07T07:35:23Z | |
| dc.description | This paper is devoted to the study of the embeddings of a complex submanifold $S$ inside a larger complex manifold $M$; in particular, we are interested in comparing the embedding of $S$ in $M$ with the embedding of $S$ as the zero section in the total space of the normal bundle $N_S$ of $S$ in $M$. We explicitely describe some cohomological classes allowing to measure the difference between the two embeddings, in the spirit of the work by Grauert, Griffiths, and Camacho-Movasati-Sad; we are also able to explain the geometrical meaning of the separate vanishing of these classes. Our results holds for any codimension, but even for curves in a surface we generalize previous results due to Laufert and Camacho-Movasati-Sad. | |
| dc.description | 29 pages | |
| dc.identifier | https://arxiv.org/abs/math/0612449 | |
| dc.identifier | http://arxiv.org/abs/math/0612449 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/120077 | |
| dc.subject | Complex Variables | |
| dc.subject | Differential Geometry | |
| dc.subject | 32S65, 37F10, 32A27, 37F75 | |
| dc.title | Embeddings of submanifolds and normal bundles | |
| dc.type | text |