On the tautological ring of Humbert curves
arXiv:2211.15291 · doi:10.1007/s00229-022-01445-4
Abstract
We exhibit a 2-dimensional family of non-hyperelliptic curves of genus 5, called Humbert curves, for which the tautological ring injects into cohomology. In particular, Humbert curves have a multiplicative Chow-Künneth decomposition (in the sense of Shen-Vial), and their Ceresa cycle is torsion.
13 pages, to appear in manuscripta math., comments welcome ! arXiv admin note: text overlap with arXiv:2105.02016, arXiv:2108.08547, arXiv:2105.02224, arXiv:2111.07069
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