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Codimension two nonsingular subvarieties of quadrics: Scrolls and classification in degree d≤10

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Abstract

Let X be a codimension two nonsingular subvariety of a nonsingular quadric 2n of dimension n ≥ 5. We classify such subvarieties when they are scrolls. We also classify them when the degree d ≤ 10. Both results were known when n=4.

Original languageEnglish
Pages (from-to)879-902
Number of pages24
JournalJournal of the Mathematical Society of Japan
Volume50
Issue number4
DOIs
StatePublished - 1998

Keywords

  • Classification
  • Liaison
  • Low codimension
  • Low degree
  • Quadric
  • Scroll
  • Vector bundle

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