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.
| Original language | American English |
|---|---|
| Journal | Fields Institute Communications |
| State | Published - 2009 |
Disciplines
- Mathematics