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. 2018;4(4):38.
doi: 10.1007/s40993-018-0131-0. Epub 2018 Sep 17.

On the height of Gross-Schoen cycles in genus three

Robin de Jong  1
Affiliations

On the height of Gross-Schoen cycles in genus three

Robin de Jong. Res Number Theory. 2018.

Abstract

We show that there exists a sequence of genus three curves defined over the rationals in which the height of a canonical Gross-Schoen cycle tends to infinity.

Keywords: Beilinson–Bloch height; Faltings height; Gross–Schoen cycle; Height jump; Horikawa index.

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References

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