Voisin映射的不定轨迹
代数几何
2024-08-02 v4
摘要
Beauville与Donagi证明了光滑三次四维流形Y的线簇是超凯勒簇。近来，C. Lehn、M. Lehn、Sorger与van Straten证明了可自然地将一个超凯勒簇与Y上的扭曲三次曲线簇相关联。随后，Voisin定义了一个6次有理映射 。我们将证明 的不定轨迹为相交线轨迹。
引用
@article{arxiv.1711.06218,
title = {The indeterminacy locus of the Voisin map},
author = {Giosuè Emanuele Muratore},
journal= {arXiv preprint arXiv:1711.06218},
year = {2024}
}
备注
15 pages. Typo in proposition 2.2. Introduced Remark 2.3. Chages in reference LLSvS17. Insered $W_{ADE}$ and removed the explanation of $\phi$ Definition of $\psi'$ using the Rigidity Lemma. E is now the support of the exceptional divisor