Mathematics – Algebraic Geometry
Scientific paper
2003-03-08
Mathematics
Algebraic Geometry
AMS-LaTeX, 24 pages,Crossreferences to math.AG/0207228 changed
Scientific paper
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.
Viehweg Eckart
Zuo Kang
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