Threefolds of order one in the six-quadric

Details Threefolds of order one in the six-quadric Threefolds of order one in the six-quadric

2008-08-03

arxiv.org/abs/0808.0343v2

Mathematics

Algebraic Geometry

14 pages; added Propositions 3.6 and 4.4 in version 2

Scientific paper

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.

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