Canonical currents and heights for K3 surfaces

Simion Filip; Valentino Tosatti

doi:10.4310/CJM.2023.v11.n3.a2

Canonical currents and heights for K3 surfaces

Simion Filip, Valentino Tosatti

Mathematics

Research output: Contribution to journal › Article › peer-review

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.

Original language	English (US)
Pages (from-to)	699-794
Number of pages	96
Journal	Cambridge Journal of Mathematics
Volume	11
Issue number	3
DOIs	https://doi.org/10.4310/CJM.2023.v11.n3.a2
State	Published - 2023

ASJC Scopus subject areas

General Mathematics

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10.4310/CJM.2023.v11.n3.a2

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Canonical currents and heights for K3 surfaces

Abstract

ASJC Scopus subject areas

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