中文

关于几何亏格 $p_g \geq 2$ 的一般型极小 4 折

代数几何 2021-01-19 v3

摘要

我们证明,对于几何亏格 pg2p_g\geq 2 的非奇异射影 4 折 V 的一般型,33-典范映射是到像的双有理映射,且典范体积有下界 1/5201/520,这改进了 Chen 与 Chen 之前的定理。

关键词

引用

@article{arxiv.1904.09393,
  title  = {On minimal 4-folds of general type with $p_g \geq 2$},
  author = {Jianshi Yan},
  journal= {arXiv preprint arXiv:1904.09393},
  year   = {2021}
}

备注

14 pages. Slight rearrangements have been made to the context. The result on the lower bound of the canonical volume has been improved, because of the nonexistence of a kind of fibration in Subcase(II-2) of the previous version, which was pointed out by Yong Hu