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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
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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:

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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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