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Generic integral manifolds for weight two period domains
Author(s):
James
A.
Carlson;
Domingo
Toledo
Journal:
Trans. Amer. Math. Soc.
356
(2004),
2241-2249.
MSC (2000):
Primary 14D07, 58A15
Posted:
January 13, 2004
MathSciNet review:
2048516
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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:
-
- 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
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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
DOI:
10.1090/S0002-9947-04-03485-3
PII:
S 0002-9947(04)03485-3
Received by editor(s):
February 7, 2002
Posted:
January 13, 2004
Additional Notes:
Both authors were partially supported by NSF grant DMS 9900543
Copyright of article:
Copyright
2004,
American Mathematical Society
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