中文

关于反典则Iitaka维数的超可加性

代数几何 2026-03-27 v4

摘要

给定任意特征域上的纤维化 f:XYf: X \to Y,其一般纤维 XyX_y 为正规的,我们建立了Iitaka型不等式 κ(X,KX)κ(Xy,KXy)+κ(Y,KY)\kappa(X,-K_X) \leq \kappa(X_y,-K_{X_y})+\kappa(Y,-K_Y),只要 Q\mathbb{Q}-线性系列 KXQ|-K_X|_{\mathbb{Q}}XyX_y 上具有良好奇点。

关键词

引用

@article{arxiv.2309.16580,
  title  = {On the superadditivity of anticanonical Iitaka dimension},
  author = {Marta Benozzo and Iacopo Brivio and Chi-Kang Chang},
  journal= {arXiv preprint arXiv:2309.16580},
  year   = {2026}
}

备注

39 pages. (v4) minor corrections. Final version to appear in Advances in Mathematics