Knotting of algebraic curves in complex surfaces
| dc.creator | Finashin, Sergey | |
| dc.date | 2000-11-27 | |
| dc.date.accessioned | 2026-07-07T04:38:52Z | |
| dc.date.available | 2026-07-07T04:38:52Z | |
| dc.description | A non-singular connected algebraic curve $A$ in a simply connected algebraic surface $X$ can be knotted so that its homology class and the fundamental group of its complement in $X$ is preserved, provided $A$ is sufficiently complex (not too ``rigid''). For example, it is true if $A$ admits a degeneration to an irreducible curve $A_0$ having a unique singularity of the type $X_9$ (a non-degenerate quadriple point), or more complicated one, and $A.A>16$. This generalizes the previous result of the author which concerns the curves in $CP^2$ of degree $d>4$ (the old preprint is included as a part of the current one). | |
| dc.description | 12 pages, 4 figures, includes gokova.cls | |
| dc.identifier | https://arxiv.org/abs/math/0011227 | |
| dc.identifier | http://arxiv.org/abs/math/0011227 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/60445 | |
| dc.subject | Geometric Topology | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 57R40 | |
| dc.title | Knotting of algebraic curves in complex surfaces | |
| dc.type | text |