Discreteness of minimal models of Kodaira dimension zero and subvarieties of moduli stacks

Details Discreteness of minimal models of Kodaira dimension zero and subvarieties of moduli stacks Discreteness of minimal models of Kodaira dimension zero and subvarieties of moduli stacks

2002-10-20

arxiv.org/abs/math/0210310v3

Mathematics

Algebraic Geometry

26 pages, AMSLaTeX, 3nd version with some minor corrections and a new introduction

Scientific paper

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.

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