On surfaces in P^6 with no trisecant lines

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 $(-1)$-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.

21 pages, DVI file available at http://www.math.kth.se/~sandra/Welcome Mittag-Leffler Report No 13, 1996/97 Latex

References in corpus (2)

• Surfaces of Degree 10 in the Projective Fourspace via Linear Systems and Linkage
• Conic bundles in projective fourspace