半阿贝尔簇自态射的算术度与动力度
代数几何
2020-04-17 v3 数论
摘要
我们证明了 Kawaguchi-Silverman 关于半阿贝尔簇自态射的算术度与动力度的猜想。此外,我们确定了半阿贝尔簇的轨道的算术度集合以及其自态射的(第一)动力度。
引用
@article{arxiv.1802.03173,
title = {Arithmetic and dynamical degrees of self-morphisms of semi-abelian varieties},
author = {Yohsuke Matsuzawa and Kaoru Sano},
journal= {arXiv preprint arXiv:1802.03173},
year = {2020}
}
备注
20 pages. A minor typo is corrected