Discreteness of minimal models of Kodaira dimension zero and subvarieties of moduli stacks
Algebraic Geometry
2007-05-23 v3
Abstract
We extend some of the results obtained for subvarieties of the moduli stack of canonically polarized manifolds in "Base spaces of non-isotrivial families of smooth minimal models" (math.AG/0103122) to moduli of polarized minimal models of Kodaira dimension zero. To this aim we first show that for those manifolds there are no non isotrivial families of minimal models, which are birationally isotrivial. In the last chapter, we discuss the rigidity of curves in the moduli stack of canonically polarized manifolds and of polarized minimal models of Kodaira dimension zero.
Keywords
Cite
@article{arxiv.math/0210310,
title = {Discreteness of minimal models of Kodaira dimension zero and subvarieties of moduli stacks},
author = {Eckart Viehweg and Kang Zuo},
journal= {arXiv preprint arXiv:math/0210310},
year = {2007}
}
Comments
26 pages, AMSLaTeX, 3nd version with some minor corrections and a new introduction