On surfaces in P^6 with no trisecant lines
alg-geom
2008-02-03 v1 Algebraic Geometry
Abstract
We construct examples of smooth surfaces S in P^6 with no trisecant lines. This list includes examples of surfaces not cut out by quadrics. We prove that unless S has a finite number of disjoint -lines, and each one meets some other line L on the surface with L^2\leq -2, and S is not an inner projection from P^7 the surface belongs to the list of examples.
Cite
@article{arxiv.alg-geom/9705022,
title = {On surfaces in P^6 with no trisecant lines},
author = {Sandra Di Rocco and Kristian Ranestad},
journal= {arXiv preprint arXiv:alg-geom/9705022},
year = {2008}
}
Comments
21 pages, DVI file available at http://www.math.kth.se/~sandra/Welcome Mittag-Leffler Report No 13, 1996/97 Latex