Coupled contact systems and rigidity of maximal dimensional variations of Hodge structure
Author:
Richárd Mayer
Journal:
Trans. Amer. Math. Soc. 352 (2000), 21212144
MSC (1991):
Primary 14C30
Published electronically:
July 26, 1999
MathSciNet review:
1624194
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Abstract: In this article we prove that locally Griffiths' horizontal distribution on the period domain is given by a generalized version of the familiar contact differential system. As a consequence of this description we obtain strong local rigidity properties of maximal dimensional variations of Hodge structure. For example, we prove that if the weight is odd (greater than one) then there is a unique germ of maximal dimensional variation of Hodge structure through every point of the period domain. Similar results hold if the weight is even with the exception of one case.
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Additional Information
Richárd Mayer
Affiliation:
Department of Mathematics, University of Massachusetts, Amherst, Massachusetts 01003
Email:
mayer@math.umass.edu
DOI:
http://dx.doi.org/10.1090/S0002994799023958
PII:
S 00029947(99)023958
Received by editor(s):
December 5, 1997
Published electronically:
July 26, 1999
Article copyright:
© Copyright 2000
American Mathematical Society
