中文

关于光滑超曲面希尔伯特平方的自同构

代数几何 2022-10-07 v3

摘要

设X为维数至少为三的光滑射影超曲面。我们证明X的希尔伯特平方X^{[2]}的每一个自同构均由X的某个自同构诱导。

关键词

引用

@article{arxiv.2012.08098,
  title  = {On automorphisms of Hilbert squares of smooth hypersurfaces},
  author = {Long Wang},
  journal= {arXiv preprint arXiv:2012.08098},
  year   = {2022}
}

备注

v3: Minor changes, final version. v2: 11 pages. Result strengthened according to J. V. Rennemo's suggestion