Generic integral manifolds for weight two period domains
HTML articles powered by AMS MathViewer
- 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
- V. Arnold, Les méthodes mathématiques de la mécanique classique, Éditions Mir, Moscow, 1976 (French). Traduit du russe par Djilali Embarek. MR 0474391
- James A. Carlson, Bounds on the dimension of variations of Hodge structure, Trans. Amer. Math. Soc. 294 (1986), no. 1, 45–64. MR 819934, DOI 10.1090/S0002-9947-1986-0819934-6
- James A. Carlson, Aznif Kasparian, and Domingo Toledo, Variations of Hodge structure of maximal dimension, Duke Math. J. 58 (1989), no. 3, 669–694. MR 1016441, DOI 10.1215/S0012-7094-89-05832-8
- Phillip A. Griffiths, Periods of integrals on algebraic manifolds. III. Some global differential-geometric properties of the period mapping, Inst. Hautes Études Sci. Publ. Math. 38 (1970), 125–180. MR 282990
- F. John, Partial differential equations, Applied Mathematical Sciences, Vol. 1, Springer-Verlag, New York-Berlin, 1971. MR 0304828
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