Families over curves with a strictly maximal Higgs field
Algebraic Geometry
2007-05-23 v2 Complex Variables
Abstract
We study certain rigid Shimura curves in the moduli scheme of polarized minimal n-folds of Kodaira dimension zero. Those are characterized by some numerical condition on the Deligne extension of the corresponding variation of Hodge structures, or equivalently by the strict maximality of the induced Higgs field. We show that such Shimura curves can not be proper, for n odd, and we give some examples, showing that they exist in all dimensions.
Cite
@article{arxiv.math/0303103,
title = {Families over curves with a strictly maximal Higgs field},
author = {Eckart Viehweg and Kang Zuo},
journal= {arXiv preprint arXiv:math/0303103},
year = {2007}
}
Comments
AMS-LaTeX, 24 pages,Crossreferences to math.AG/0207228 changed