Local to global principle for the moduli space of K3 surfaces
Local to global principle for the moduli space of K3 surfaces
复制标题
K3 曲面模空间的局部到全局原理
作者：
G. Baldi
最近S。Patrikis，J.F. Voloch和Y. Zarhin已经证明，假设几个著名的apturtures，有限下降障碍持有的模空间的主要极化阿贝尔品种。我们展示了一个类似的结果为K3曲面，皮卡德秩的一些技术限制下。这是可能的，因为阿贝尔变种和K3是相当好地描述了'霍奇理论'的结果。特别是我们提出的定理可以解释如下：一个家庭的$$ell $
Recently S. Patrikis, J.F. Voloch, and Y. Zarhin have proven, assuming several well-known conjectures, that the finite descent obstruction holds on the moduli space of principally polarised abelian varieties. We show an analogous result for K3 surfaces, under some technical restrictions on the Picard rank. This is possible since abelian varieties and K3s are quite well described by ‘Hodge-theoretical’ results. In particular the theorem we present can be interpreted as follows: a family of $$ell $$ℓ-adic representations that looks like the one induced by the transcendental part of the $$ell $$ℓ-adic cohomology of a K3 surface (defined over a number field) determines a Hodge structure which in turn determines a K3 surface (which may be defined over a number field).
识别 K3 曲面的伽罗瓦表示
影响因子：
0.8
作者：
Klevdal, Christian
通讯作者：
Klevdal, Christian