曲线对称幂的二次Euler特征
代数几何
2024-06-18 v2
摘要
我们计算了在特征不为二的任意场上平滑射影曲线对称幂的二次Euler特征，借助Levine-Raksit的动机Gauss-Bonnet定理。作为应用，我们表明在特征为零的场上，Pajwani-P\'al引入的Grothendieck-Witt环上的幂结构计算了对称幂的紧支撑A1-Euler特征。
引用
@article{arxiv.2404.16378,
title = {Quadratic Euler Characteristic of Symmetric Powers of Curves},
author = {Lukas F. Bröring and Anna M. Viergever},
journal= {arXiv preprint arXiv:2404.16378},
year = {2024}
}
备注
19 pages, corrected typos, improved exposition. Comments still welcome!