Braid Group techniques in Complex Geometry V: The fundamental group of the complement of a Veronese generic projection
| dc.creator | Teicher, Mina | |
| dc.creator | Moishezon, Boris | |
| dc.date | 1995-02-14 | |
| dc.date.accessioned | 2026-07-07T09:06:21Z | |
| dc.date.available | 2026-07-07T09:06:21Z | |
| dc.description | Computation of the fundamental group of the complement in the complex plane of the branch curve S , of a generic projection of the Veronese surface to the plane is presented. This paper is a continuation of our previous papers: Braid Group Technique I - IV. In I and II we developed algorithms to compute braid monodromy of a brunch curve, provided there exist a degeneration of the surface to union of planes in a configuration where the associated branch curve is partial to a line arrangement dual to generic. In III we constructed a degeneration of the Veronese surface of order 3 to union of planes with the desired property and in IV we used I -III to compute the braid monodromy of the associated branch curve. Here we use the Van-Kampen method to compute the fundamental group of the complement from a braid monodromy factorization and some extra properties of the factorization , namely invariant properties, also proven in IV. The group is presented using a certain quotient of the Braid group defined by transversal half-twists. | |
| dc.description | 125 pages, amstex, figures by request. To be published in "Communications in Analysis and Geometry" | |
| dc.identifier | https://arxiv.org/abs/alg-geom/9502009 | |
| dc.identifier | http://arxiv.org/abs/alg-geom/9502009 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/149976 | |
| dc.subject | Algebraic Geometry | |
| dc.title | Braid Group techniques in Complex Geometry V: The fundamental group of the complement of a Veronese generic projection | |
| dc.type | text |