Generic integral manifolds for weight two period domains

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.

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Bibliographic Details
Published in:Transactions of the American Mathematical Society 2004-06, Vol.356 (6), p.2241-2249
Main Authors: Carlson, James A., Toledo, Domingo
Format: Article
Language:English
Subjects:
Algebra
Algebraic geometry
Coordinate systems
Exact sciences and technology
Global analysis, analysis on manifolds
Hessian matrices
Mathematical functions
Mathematical integrals
Mathematical manifolds
Mathematical vectors
Mathematics
Matrices
Partial differential equations
Research article
Sciences and techniques of general use
Tangents
Topology. Manifolds and cell complexes. Global analysis and analysis on manifolds
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Description
Summary: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.
ISSN:0002-9947
1088-6850
DOI:10.1090/S0002-9947-04-03485-3