K3 表面上点阵 Hilbert 方案的派生-天然自同构
代数几何
2026-05-26 v5
摘要
本文从派生范畴的视角重访 K3 表面上点阵 Hilbert 方案的双正则与双立即自同构。假设 K3 表面为一般情况，则对其下诱导的派生范畴上诱导的双正则与双立即自同构进行了特征化。
关键词
引用
@article{arxiv.2501.08854,
title = {Derived-natural automorphisms on Hilbert schemes of points on generic K3 surfaces},
author = {Ziqi Liu},
journal= {arXiv preprint arXiv:2501.08854},
year = {2026}
}
备注
14 pages. v2 and v3: revisions based on comments from the anonymous referees. v4 and v5: correction of typos in bibliography