Knotting of Algebraic Curves in CP2
| dc.creator | Finashin, Sergey | |
| dc.date | 1999-07-16 | |
| dc.date | 1999-07-27 | |
| dc.date.accessioned | 2026-07-07T05:29:56Z | |
| dc.date.available | 2026-07-07T05:29:56Z | |
| dc.description | I construct "fake algebraic curves" in $Cp^2$. More precisely, for any k>2, I construct infinitely many pairwise smoothly non-isotopic (and moreover not ambient diffeomorphic) smooth surfaces $F\subset Cp^2$ homeomorphic to a non-singular algebraic curve of degree 2k, realizing the same homology class as such a curve and having abelian fundamental group of the complement $Cp^2-F$. This gives an answer to Problem 4.110 of Kirby's list. | |
| dc.description | 9 pages, 4 figures. Revision: an Appendix with a Figure is added; a minor correction in the Intro | |
| dc.identifier | https://arxiv.org/abs/math/9907108 | |
| dc.identifier | http://arxiv.org/abs/math/9907108 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/78836 | |
| dc.subject | Geometric Topology | |
| dc.subject | Algebraic Geometry | |
| dc.title | Knotting of Algebraic Curves in CP2 | |
| dc.type | text |