Canonical currents and heights for K3 surfaces

IF 1.8 2区 数学 Q1 MATHEMATICS
Simion Filip, Valentino Tosatti
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引用次数: 7

Abstract

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.
K3曲面的正则电流和高度
我们在一个K3曲面的样本锥的边界上构造正则正电流和高度。它们对于自同构群是等变的,并且合在一起成为一个连续族,定义在充裕锥的扩大边界上。在此过程中,我们构建了椭圆纤维表面上某些高度函数和电流的首选代表。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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来源期刊
CiteScore
3.10
自引率
0.00%
发文量
7
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