On codimension two subvarieties in hypersurfaces
Kumar, N. Mohan · Rao, A. P. · Ravindra, G. V.
Original · EN
We show that for a smooth hypersurface X⊂ 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⊂ⁿ. We also show there exist Y⊂ X as above for which the normal bundle sequence for the inclusion Y⊂ X⊂ⁿ does not split.
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