正规三维簇上 Noether-Lefschetz 轨迹一般分量的存在性与稠密性
代数几何
2021-10-12 v5
摘要
我们考虑具有有理奇点的 Q-因子正规三维簇中曲面的 Noether-Lefschetz 问题。我们证明了 Noether-Lefschetz 轨迹存在具有最大余维数的分量，且这些分量确实有无穷多个。此外，我们证明了它们的并集在自然拓扑下是稠密的。
引用
@article{arxiv.1706.02081,
title = {Existence and density of general components of the Noether-Lefschetz locus on normal threefolds},
author = {Ugo Bruzzo and Antonella Grassi and Angelo Felice Lopez},
journal= {arXiv preprint arXiv:1706.02081},
year = {2021}
}
备注
14 pages. v2: 13 pages, exposition improved. v3: misprint corrected. v4: results strengthened; added section with examples; typos corrected; v5: added Rmk.2.6; more minor revisions