Canonical currents and heights for K3 surfaces
Dynamical Systems
2023-08-10 v2 Algebraic Geometry
Complex Variables
Differential Geometry
Geometric Topology
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.
Keywords
Cite
@article{arxiv.2103.02095,
title = {Canonical currents and heights for K3 surfaces},
author = {Simion Filip and Valentino Tosatti},
journal= {arXiv preprint arXiv:2103.02095},
year = {2023}
}
Comments
70 pages, 3 figures; final version to appear in the Cambridge Journal of Mathematics