Threefolds of order one in the six-quadric

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Abstract

Consider the smooth quadric Q 6 in ℙ7. The middle homology group H 6(Q 6, ℤ) is isomorphic to ℤ ⊕ ℤ, with a basis given by two classes of linear subspaces. We classify all threefolds of bidegree (1, p) inside Q 6.

Keywords

STEKLOV Institute Pure Spinor Homology Class Exceptional Divisor Smooth Point 
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Copyright information

© Pleiades Publishing, Ltd. 2009

Authors and Affiliations

  1. 1.Department of MathematicsUniversity of WisconsinMadisonUSA

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