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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Homogeneous ideals associated to a smooth subvariety
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by Yu-Han Liu PDF
Proc. Amer. Math. Soc. 140 (2012), 2285-2291 Request permission

Abstract:

In this paper we show that a smooth subvariety $Z$ on an odd-dimensional complex projective smooth variety $X$ is determined by the sufficiently many Hodge conjectures it solves on hypersurfaces $Y$ on $X$ of high degrees containing $Z$.
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Additional Information
  • Yu-Han Liu
  • Affiliation: Department of Mathematics, Princeton University, Princeton, New Jersey 08544
  • Email: yuliu@math.princeton.edu
  • Received by editor(s): November 9, 2010
  • Received by editor(s) in revised form: November 21, 2010, and February 23, 2011
  • Published electronically: November 9, 2011
  • Communicated by: Lev Borisov
  • © Copyright 2011 American Mathematical Society
    The copyright for this article reverts to public domain 28 years after publication.
  • Journal: Proc. Amer. Math. Soc. 140 (2012), 2285-2291
  • MSC (2010): Primary 14C30
  • DOI: https://doi.org/10.1090/S0002-9939-2011-11097-9
  • MathSciNet review: 2898692