On the tautological ring of Humbert curves
Algebraic Geometry
2022-11-29 v1
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-K\"unneth decomposition (in the sense of Shen-Vial), and their Ceresa cycle is torsion.
Cite
@article{arxiv.2211.15291,
title = {On the tautological ring of Humbert curves},
author = {Robert Laterveer},
journal= {arXiv preprint arXiv:2211.15291},
year = {2022}
}
Comments
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