特征为零场上原始幂交换variety的锥猜想及其应用
代数几何
2026-05-12 v3
摘要
我们证明了 Kawamata-Morrison 锥猜想对于特征为零场上二次贝氏数大于五的Q-阶终止射影原始幂交换variety。作为应用，我们证明在某些假设下，那些非常一般纤维为特征为零场上原始幂交换variety的丢弃映射的相对可移动锥猜想和相对净锥猜想成立。
引用
@article{arxiv.2512.19656,
title = {The Cone Conjecture for Primitive Symplectic Varieties over a Field of Characteristic Zero and an Application},
author = {Aurélien Faucher},
journal= {arXiv preprint arXiv:2512.19656},
year = {2026}
}
备注
28 pages; C\'ecile Gachet has informed us that Theorem A is in fact a consequence of her preprint "Well-clipped cones under finite quotients and applications to the cone conjecture". The introduction has been revised to acknowledge this fact