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On codimension two subvarieties in hypersurfaces
- Source :
- Motives and algebraic cycles, 167-174, Fields Inst. Commun., 56, Amer. Math. Soc., Providence, RI, 2009
- Publication Year :
- 2010
-
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.<br />Comment: 8 pages
- Subjects :
- Mathematics - Algebraic Geometry
14M05, 14J60, 14M07
Subjects
Details
- Database :
- arXiv
- Journal :
- Motives and algebraic cycles, 167-174, Fields Inst. Commun., 56, Amer. Math. Soc., Providence, RI, 2009
- Publication Type :
- Report
- Accession number :
- edsarx.1005.3990
- Document Type :
- Working Paper