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On Codimension Two Subvarieties in Hypersurfaces
Fields Institute Communications (2009)
  • Ravindra Girivaru, University of Missouri-St. Louis
Abstract
We show that for a smooth hypersurface X ⊂ P n of degree at least 2, there exist arithmetically Cohen-Macaulay (ACM) codimension two subvarieties Y ⊂ X which are not an intersection X ∩ S for a codimension two subvariety S ⊂ P^n . We also show there exist Y ⊂ X as above for which the normal bundle sequence for the inclusion Y ⊂ X ⊂ P n does not split.
Disciplines
Publication Date
2009
Citation Information
Ravindra Girivaru. "On Codimension Two Subvarieties in Hypersurfaces" Fields Institute Communications (2009) p. 1 - 8
Available at: http://works.bepress.com/ravindra-girivaru/14/