论Humbert曲线的重言环
代数几何
2022-11-29 v1
摘要
我们展示了一族二维的非超椭圆亏格5曲线，称为Humbert曲线，其重言环单射到上同调中。特别地，Humbert曲线具有乘性Chow-Künneth分解（在Shen-Vial的意义下），且其Ceresa圈是挠元。
引用
@article{arxiv.2211.15291,
title = {On the tautological ring of Humbert curves},
author = {Robert Laterveer},
journal= {arXiv preprint arXiv:2211.15291},
year = {2022}
}
备注
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