中文

稳定尖点曲线与 $\overline{\mathscr{M}}_{2,1}$ 的整 Chow 环

代数几何 2024-10-30 v2

摘要

在本文中,我们引入 n 标记 genus g 的至多尖点稳定曲线的模栈 M~g,n\widetilde{\mathscr{M}}_{g,n},并利用它确定了 M2,1\overline{\mathscr{M}}_{2,1} 的整 Chow 环。在此过程中,我们还确定了 M1,2\overline{\mathscr{M}}_{1,2} 的整 Chow 环。

关键词

引用

@article{arxiv.2108.03680,
  title  = {Stable cuspidal curves and the integral Chow ring of $\overline{\mathscr{M}}_{2,1}$},
  author = {Andrea Di Lorenzo and Michele Pernice and Angelo Vistoli},
  journal= {arXiv preprint arXiv:2108.03680},
  year   = {2024}
}

备注

47 pages, comments welcome! V2: some mistakes corrected, some new figures added. To appear on Geometry & Topology