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arXiv · 2103.02095

Canonical currents and heights for K3 surfaces

Simion Filip·Valentino Tosatti
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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.

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BibTeXRIS

Simion Filip, Valentino Tosatti. 2021-03-03. Canonical currents and heights for K3 surfaces. https://doi.org/10.4310/cjm.2023.v11.n3.a2

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