Erratum for Boundedness of families of canonically polarized manifolds: A higher dimensional analogue of Shafarevich's conjecture
Erratum for Boundedness of families of canonically polarized manifolds: A higher dimensional analogue of Shafarevich's conjecture
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正则极化流形族有界性勘误表：沙法列维奇猜想的高维模拟
DOI：
10.4007/annals.2010.172.1719
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发表时间：
2006
影响因子：
4.9
通讯作者：
Max Lieblich
中科院分区：
文献类型：
--
作者：
Sandor J. Kovacs;Max Lieblich
我们证明了具有固有奇异轨迹的任意变异体上的正则极化流形的变形类型的数目是nite，并且这个数目在任意nite型基变异体族中是一致有界的。作为一个推论，我们证明了Shafarevich原始猜想的几何版本的直接推广适用于极小刚性的正则极化变体族。
We show that the number of deformation types of canonically polarized manifolds over an arbitrary variety with proper singular locus is nite, and that this number is uniformly bounded in any nite type family of base varieties. As a corollary we show that a direct generalization of the geometric version of Shafarevich’s original conjecture holds for innitesimally rigid families of canonically polarized varieties.