Canonical currents and heights for K3 surfaces
Canonical currents and heights for K3 surfaces
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DOI：
10.4310/cjm.2023.v11.n3.a2
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发表时间：
2021-03
影响因子：
1.6
通讯作者：
Simion Filip;Valentino Tosatti
中科院分区：
文献类型：
--
作者：
Simion Filip;Valentino Tosatti
我们在K3曲面的采样圆锥的边界上构造了正的正电流和正高度。它们对于自同构群来说是等变的，并且一起适配成一个连续族，该连续族定义在样本锥体的扩大边界上。在此过程中，我们构造了椭圆纤维表面上某些高度函数和电流的优选表示。
We construct canonical positive currents and heights on the boundary of the ample cone of a K3 surface. These are equivariant for the automorphism group and fit together into a continuous family, defined over an enlarged boundary of the ample cone. Along the way, we construct preferred representatives for certain height functions and currents on elliptically fibered surfaces.