Journal of Algebraic Geometry

Journal of Algebraic Geometry

Online ISSN 1534-7486; Print ISSN 1056-3911

   
 
 

 

Nodes and the Hodge conjecture


Author: R. P. Thomas
Journal: J. Algebraic Geom. 14 (2005), 177-185
DOI: https://doi.org/10.1090/S1056-3911-04-00378-9
Published electronically: March 15, 2004
MathSciNet review: 2092131
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Abstract | References | Additional Information

Abstract: The Hodge conjecture is shown to be equivalent to a question about the homology of very ample divisors with ordinary double point singularities. The infinitesimal version of the result is also discussed.


References [Enhancements On Off] (What's this?)

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  • [Sch] C. Schoen. Algebraic cycles on certain desingularized nodal hypersurfaces. Math. Ann. 270, 17-27 (1985).


Additional Information

R. P. Thomas
Affiliation: Department of Mathematics, Imperial College, 180 Queen’s Gate, London SW7 2AZ United Kingdom
Email: rpwt@ic.ac.uk

DOI: https://doi.org/10.1090/S1056-3911-04-00378-9
Received by editor(s): May 22, 2003
Published electronically: March 15, 2004

American Mathematical Society