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Transactions of the American Mathematical Society

Published by the American Mathematical Society since 1900, Transactions of the American Mathematical Society is devoted to longer research articles in all areas of pure and applied mathematics.

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

The 2020 MCQ for Transactions of the American Mathematical Society is 1.48.

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Lines on the Fermat quintic threefold and the infinitesimal generalized Hodge conjecture
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by Alberto Albano and Sheldon Katz PDF
Trans. Amer. Math. Soc. 324 (1991), 353-368 Request permission

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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Additional Information
  • © Copyright 1991 American Mathematical Society
  • 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