关于四维簇上非大Ulrich向量丛的分类
代数几何
2025-06-05 v3
摘要
我们给出了四维簇上非大 Ulrich 向量丛近乎完全的分类。这允许在 Picard 秩一四维簇、Mukai 四维簇以及 Del Pezzo -簇（）的情形下对它们进行分类。我们还对 Del Pezzo 和 Mukai -簇（）上具有非大行列式的 Ulrich 丛进行了分类。
引用
@article{arxiv.2205.10143,
title = {On the classification of non-big Ulrich vector bundles on fourfolds},
author = {Angelo Felice Lopez and Roberto Muñoz and José Carlos Sierra},
journal= {arXiv preprint arXiv:2205.10143},
year = {2025}
}
备注
The paper arXiv:2201.06019v1 has been split into two papers: arXiv:2201.06019v2 and the current paper. Together they supersede arXiv:2201.06019v1. v2: several changes according to referee's requests. Added two tables at the end of the paper. v3: corrected several typos