基于舒伯特演算的群典范维数估计
代数几何
2025-03-06 v3 群论
表示论
摘要
我们概述了半单分裂单连通群与其全旗簇上同调之间的典范（0-）维数联系之证明。利用这一联系，我们得到了关于理解为群的 E 型单连通分裂例外群的典范（0-）维数的一个新估计。
引用
@article{arxiv.2011.00950,
title = {An estimate of canonical dimension of groups based on Schubert calculus},
author = {Rostislav Devyatov},
journal= {arXiv preprint arXiv:2011.00950},
year = {2025}
}
备注
Third version, 18 pages, an alternative proof of isomorphism of Picard groups (Proposition 3.2), using \'etale sheaves, is added as an appendix (while the previous proof, using representation theory, is also kept), some minor improvements are also made and some typos are also fixed