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Components of maximal dimension of an analogue of the NoetherLefschetz locus
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UNSPECIFIED. (2002) Components of maximal dimension of an analogue of the NoetherLefschetz locus. COMPOSITIO MATHEMATICA, 131 (1). pp. 3150. ISSN 0010437X
Full text not available from this repository.Abstract
Let x subset of PC(4) be a smooth hypersurface of degree d greater than or equal to 5, and let S subset of X be a smooth hyperplane section. assume that there exists a non trivial cycle Z is an element of Pic(x) of degree 0, whose image in CH1(X) is in the kernel of the abeljacobi map. the family of couples (X, S) containing such z is a countable union of analytic varieties. we show that it has a unique component of maximal dimension, which is exaclty the locus of couples (X, S) satisfying the following condition: There exists a line Delta subset of S and a plane P subset of PC(4) such that P boolean AND X = Delta, and z = Delta  dh, where h is the class of the hyperplane section in CH1(S). the image of Z in CH1(X) is thus 0. this construction provides evidence for a conjecture by nori which predicts that the abeljacobi map for 1cycles on X is injective.
Item Type:  Journal Article  

Subjects:  Q Science > QA Mathematics  
Journal or Publication Title:  COMPOSITIO MATHEMATICA  
Publisher:  KLUWER ACADEMIC PUBL  
ISSN:  0010437X  
Official Date:  March 2002  
Dates: 


Volume:  131  
Number:  1  
Number of Pages:  20  
Page Range:  pp. 3150  
Publication Status:  Published  
URI:  http://wrap.warwick.ac.uk/id/eprint/11155 
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