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Components of small condimension of the Noether-Lefschetz locus: An asymptotic argument favoring the Hodge conjecture for hypersurfaces
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UNSPECIFIED (2003) Components of small condimension of the Noether-Lefschetz locus: An asymptotic argument favoring the Hodge conjecture for hypersurfaces. JOURNAL OF ALGEBRAIC GEOMETRY, 12 (2). pp. 307-320. ISSN 1056-3911
Full text not available from this repository.Abstract
This paper gives an asymptotic description of the Noether-Lefschetz locus for smooth projective hypersurfaces in P-C(2n+1) of large degree. I prove that successive small codimensional components of this locus correspond to surfaces containing a small degree subvariety of dimension n. This result generalises the work of Green and Voisin for surfaces in P-C(3) containing a line and a conic.
| Item Type: | Journal Article |
|---|---|
| Subjects: | Q Science > QA Mathematics |
| Journal or Publication Title: | JOURNAL OF ALGEBRAIC GEOMETRY |
| Publisher: | AMER MATHEMATICAL SOC |
| ISSN: | 1056-3911 |
| Date: | April 2003 |
| Volume: | 12 |
| Number: | 2 |
| Number of Pages: | 14 |
| Page Range: | pp. 307-320 |
| Publication Status: | Published |
| URI: | http://wrap.warwick.ac.uk/id/eprint/9982 |
Data sourced from Thomson Reuters' Web of Knowledge
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