Singularities of the Height Strata in the Moduli of K3 Surfaces
Singularities of the Height Strata in the Moduli of K3 Surfaces
复制标题
K3曲面模中高度层的奇点
DOI：
10.1007/978-3-0348-8303-0_12
复制
发表时间：
2001
影响因子：
5.4
通讯作者：
A. Ogus
中科院分区：
文献类型：
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作者：
A. Ogus
特征p中簇的模空间被牛顿多边形分层。例如，度的极化K3曲面的模空间允许高度h的分层。利用超奇异K3晶体的分类，确定了各层的维数和奇异轨迹。例如，如果是素数，则高度至少为的集合的奇异轨迹与阿廷不变量ao为的点的集合重合
Moduli spaces of varieties in characteristic p are stratified by Newton polygons. For example, the moduli space of polarized K3 surfaces of degreedadmits a stratification by the height h. Using the classification of supersingular K3 crystals, we determine the dimension and singular locus of each stratum. For example, ifdis prime topthe singular locus of the set where the height is at leasthcoincides with the set of points where the Artin invariant ao is