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arxiv: 0808.0343 · v2 · submitted 2008-08-03 · 🧮 math.AG · math.DG

Threefolds of order one in the six-quadric

classification 🧮 math.AG math.DG
keywords threefoldsbasisbidegreeclassesclassifyconsidergivengroup
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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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