非大Ulrich丛：二次曲面上的分类及小数值维数情形
代数几何
2023-07-11 v3
摘要
在任何光滑维簇上，我们给出了秩且数值维数不超过的Ulrich向量丛的相当清晰的刻画。此外，我们分类了二次曲面以及6次Del Pezzo四维簇上的非大Ulrich向量丛。
引用
@article{arxiv.2201.06019,
title = {Non-big Ulrich bundles: the classification on quadrics and the case of small numerical dimension},
author = {Angelo Felice Lopez and Roberto Muñoz and José Carlos Sierra},
journal= {arXiv preprint arXiv:2201.06019},
year = {2023}
}
备注
The previous version of arXiv:2201.06019 has been split into two papers. This version supersedes the first part, the second part will appear soon. v3: a few small improvements, as suggested by anonymous referee