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Transactions of the American Mathematical Society

ISSN 1088-6850(online) ISSN 0002-9947(print)

 

 

Lines on the Fermat quintic threefold and the infinitesimal generalized Hodge conjecture


Authors: Alberto Albano and Sheldon Katz
Journal: Trans. Amer. Math. Soc. 324 (1991), 353-368
MSC: Primary 14J30; Secondary 14C30, 14K30
DOI: https://doi.org/10.1090/S0002-9947-1991-1024767-6
MathSciNet review: 1024767
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Abstract: We study the deformation theory of lines on the Fermat quintic threefold. We formulate an infinitesimal version of the generalized Hodge conjecture, and use our analysis of lines to prove it in a special case.


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DOI: https://doi.org/10.1090/S0002-9947-1991-1024767-6
Article copyright: © Copyright 1991 American Mathematical Society