Threefolds of order one in the six-quadric

Lev Borisov, Jeff Viaclovsky

Research output: Contribution to journalArticlepeer-review


Consider the smooth quadric Q6 in ℙ7. The middle homology group H 6(Q 6, ℤ) is isomorphic to double struck Z sign ⊕ double struck Z sign, with a basis given by two classes of linear subspaces. We classify all threefolds of bidegree (1, p) inside Q 6.

Original languageEnglish (US)
Pages (from-to)18-29
Number of pages12
JournalProceedings of the Steklov Institute of Mathematics
Issue number1
StatePublished - Apr 2009
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Mathematics (miscellaneous)


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