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arXiv · 1005.3990

On codimension two subvarieties in hypersurfaces

N. Mohan Kumar·A. P. Rao·G. V. Ravindra
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Abstract

We show that for a smooth hypersurface $X\subset \bbP^n$ of degree at least 2, there exist arithmetically Cohen-Macaulay (ACM) codimension two subvarieties $Y\subset X$ which are not an intersection $X\cap{S}$ for a codimension two subvariety $S\subset\bbP^n$. We also show there exist $Y\subset X$ as above for which the normal bundle sequence for the inclusion $Y\subset X\subset\bbP^n$ does not split.

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BibTeXRIS

N. Mohan Kumar, A. P. Rao, G. V. Ravindra. 2010-05-21. On codimension two subvarieties in hypersurfaces. https://arxiv.org/abs/1005.3990

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