Campedelli曲面与Burniat曲面模空间的显式紧化
代数几何
2025-05-15 v4
摘要
我们显式地描述了通过添加具有丰富典范类的slc曲面X得到的几何紧化，这些紧化对应于一般型曲面模空间中的两个连通分支：π_1(X)=Z_2^3的Campedelli曲面和K^2=6的Burniat曲面。
引用
@article{arxiv.0901.4431,
title = {Explicit compactifications of moduli spaces of Campedelli and Burniat surfaces},
author = {Valery Alexeev and Rita Pardini},
journal= {arXiv preprint arXiv:0901.4431},
year = {2025}
}
备注
v.4: Minor update: (1) In the symmetry group of Burniat configuration (Thm. 2) GL(2,F_2) replaced by C_3. (2) In the surface on the right in Fig. 10 (E degeneration), the colors rotated cyclically; similarly in Fig. 12 (EF degeneration)