五次del Pezzo三维簇上秩二弱Fano丛
代数几何
2025-05-08 v3
摘要
本文分类了五次del Pezzo三维簇上其射影化是弱Fano的秩二向量丛。然后利用该分类确定了上此类向量丛的模空间的性质，并精确给出了模空间何时是光滑、不可约和精细的。我们还证明了在一次或二次del Pezzo三维簇上的此类丛可分裂，并由此给出了Picard秩一的del Pezzo三维簇上秩二弱Fano丛的分类。
引用
@article{arxiv.2105.10768,
title = {Rank two weak Fano bundles on del Pezzo threefolds of degree five},
author = {Takeru Fukuoka and Wahei Hara and Daizo Ishikawa},
journal= {arXiv preprint arXiv:2105.10768},
year = {2025}
}
备注
25 pages; v3: Published version. Errors in the appendix of the published version and typos were fixed