Remote Access Transactions of the American Mathematical Society
Green Open Access

Transactions of the American Mathematical Society

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

 
 

 

Generic integral manifolds for weight two period domains


Authors: James A. Carlson and Domingo Toledo
Translated by:
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
Published electronically: January 13, 2004
MathSciNet review: 2048516
Full-text PDF

Abstract | References | Similar Articles | Additional Information

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

  • 1. V.I. Arnold, Mathematical Methods of Classical Mechanics, Springer-Verlag, 1978, 462 pp. MR 57:14033b
  • 2. J. Carlson, Bounds on the dimension of variations of Hodge structure. Trans. Amer. Math. Soc. 294 (1986), no. 1, 45-64. MR 87j:14010a
  • 3. J. Carlson, A. Kasparian and D. Toledo, Variations of Hodge structure of maximal dimension, Duke Math. Jour. 58 (1989), 669-694. MR 90h:14015
  • 4. P.A. Griffiths, Periods of integrals of algebraic manifolds, III, Pub. Math. I.H.E.S. 38 (1970), 125-180. MR 44:224
  • 5. Fritz John, Partial Differential Equations, Springer-Verlag, 1971, 220 pp. MR 46:3960

Similar Articles

Retrieve articles in Transactions of the American Mathematical Society with MSC (2000): 14D07, 58A15

Retrieve articles in all journals with MSC (2000): 14D07, 58A15


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

DOI: https://doi.org/10.1090/S0002-9947-04-03485-3
Received by editor(s): February 7, 2002
Published electronically: January 13, 2004
Additional Notes: Both authors were partially supported by NSF grant DMS 9900543
Article copyright: © Copyright 2004 American Mathematical Society

American Mathematical Society