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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.
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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 | ||||
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Subjects: | Q Science > QA Mathematics | ||||
Journal or Publication Title: | JOURNAL OF ALGEBRAIC GEOMETRY | ||||
Publisher: | AMER MATHEMATICAL SOC | ||||
ISSN: | 1056-3911 | ||||
Official Date: | April 2003 | ||||
Dates: |
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Volume: | 12 | ||||
Number: | 2 | ||||
Number of Pages: | 14 | ||||
Page Range: | pp. 307-320 | ||||
Publication Status: | Published |
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