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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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Generic integral manifolds for weight two period domains
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by James A. Carlson and Domingo Toledo PDF
Trans. Amer. Math. Soc. 356 (2004), 2241-2249 Request permission

Abstract:

We define the notion of a generic integral element for the Griffiths distribution on a weight two period domain, draw the analogy with the classical contact distribution, and then show how to explicitly construct an infinite-dimensional family of integral manifolds tangent to a given element.
References
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Additional Information
  • James A. Carlson
  • Affiliation: Department of Mathematics, University of Utah, 155 South 1400 East JWB 233, Salt Lake City, Utah 84112-0090
  • Domingo Toledo
  • Affiliation: Department of Mathematics, University of Utah, 155 South 1400 East JWB 233, Salt Lake City, Utah 84112-0090
  • Received by editor(s): February 7, 2002
  • Published electronically: January 13, 2004
  • Additional Notes: Both authors were partially supported by NSF grant DMS 9900543
  • © Copyright 2004 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 356 (2004), 2241-2249
  • MSC (2000): Primary 14D07, 58A15
  • DOI: https://doi.org/10.1090/S0002-9947-04-03485-3
  • MathSciNet review: 2048516