双Cayley Grassmannian的形变刚性
代数几何
2025-06-03 v2
摘要
双Cayley Grassmannian是14维例外复李群的具有Picard数为1的唯一光滑等变完备化，它参数化复化双八元数中的八维各向同性子代数。我们证明了双Cayley Grassmannian在Kähler形变下的刚性。这意味着，对于任何以连通基为底、其中一纤维双全纯于双Cayley Grassmannian的光滑射影复流形族，所有其他纤维均双全纯于双Cayley Grassmannian。
引用
@article{arxiv.2311.14331,
title = {Deformation rigidity of the double Cayley Grassmannian},
author = {Shin-young Kim and Kyeong-Dong Park},
journal= {arXiv preprint arXiv:2311.14331},
year = {2025}
}
备注
10 pages, 2 figures. arXiv admin note: text overlap with arXiv:1905.06490