Bounds on the dimension of variations of Hodge structure-Reference-Cited by-同舟云学术

Bounds on the dimension of variations of Hodge structure

Published:1986 Issue:1 Volume:294 Page:45-64
ISSN:0002-9947
Container-title:Transactions of the American Mathematical Society
language:en
Short-container-title:Trans. Amer. Math. Soc.

Author:

Carlson James A.

Abstract

We derive upper bounds on the dimension of a variation of Hodge structure of weight two and show that these bounds are sharp. Using them we exhibit maximal geometric variations of Hodge structure. Analogous results for higher weight are obtained in the presence of a nondegeneracy hypothesis, and variations coming from hypersurfaces are shown to be nondegenerate. Maximal geometric variations of higher weight are also constructed.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/tran/1986-294-01/S0002-9947-1986-0819934-6/S0002-9947-1986-0819934-6.pdf

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