Severi簇割线簇在三次超曲面中的刻画
代数几何
2021-02-23 v3
摘要
证明了具有非零Hessian且奇异轨迹光滑的不可约三次超曲面是Severi簇的割线簇，当且仅当其无穷小线性自同构的Lie代数容许非零延拓。
引用
@article{arxiv.2002.05566,
title = {A characterization of secant varieties of Severi varieties among cubic hypersurfaces},
author = {Baohua Fu and Yewon Jeong and Fyodor L. Zak},
journal= {arXiv preprint arXiv:2002.05566},
year = {2021}
}
备注
17 pages. We give a new proof of Theorem 2.9 bypassing the imprecisely stated Lemma 2.12 in the previous version. The validity of the results of the paper is not affected