Threefolds of order one in the six-quadric
Algebraic Geometry
2008-08-13 v2 Differential Geometry
Abstract
Consider the smooth quadric Q_6 in P^7. The middle homology group H_6(Q_6,Z) is two-dimensional with a basis given by two classes of linear subspaces. We classify all threefolds of bidegree (1,p) inside Q_6.
Cite
@article{arxiv.0808.0343,
title = {Threefolds of order one in the six-quadric},
author = {Lev Borisov and Jeff Viaclovsky},
journal= {arXiv preprint arXiv:0808.0343},
year = {2008}
}
Comments
14 pages; added Propositions 3.6 and 4.4 in version 2