局部轨道椭圆商的稳定性流形
代数几何
2022-09-01 v3
摘要
本文研究椭圆曲线的轨道商局部模型的稳定性流形。特别地，我们描述稳定性流形的一个分支，其作为覆盖空间映射到镜像奇点的普适展开空间。该构造需要对 曲面奇点的 McKay 对应以及壁跨越现象的详细研究。
引用
@article{arxiv.1906.03733,
title = {The stability manifold of local orbifold elliptic quotients},
author = {Franco Rota},
journal= {arXiv preprint arXiv:1906.03733},
year = {2022}
}
备注
V2: 29 pages, added Lemma 5.13 to fill a gap in the argument, no result is affected. Comments are welcome! V3: 32 pages, main results now stated for normalized stability conditions. Several improvements under referee suggestions. To appear in J. London Math. Soc