Kawaguchi-Silverman conjecture for endomorphisms on several classes of varieties
Kawaguchi-Silverman conjecture for endomorphisms on several classes of varieties
复制标题
几类变体的自同态的川口-西尔弗曼猜想
DOI：
10.1016/j.aim.2020.107086
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发表时间：
2020
影响因子：
1.7
通讯作者：
Matsuzawa Yohsuke
中科院分区：
文献类型：
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作者：
Kae Takahashi;Gaku Takimoto;Ayumi Matsuo;Yoshihisa Suyama;and Takuya Sato;高橋華江・佐藤拓哉・瀧本岳;Matsuzawa Yohsuke
本文证明了几类代数簇（包括Fano型簇和投射环面簇）上自同态的充分典范高度的Kawaguchi-Silverman猜想（KSC）和柴田猜想.我们还证明了线性代数群的群自同态的KSC。我们还提出了一种可能的方法，使用等变MMP的猜想。
We prove Kawaguchi-Silverman conjecture (KSC) and Shibata's conjecture on ample canonical heights for endomorphisms on several classes of algebraic varieties including varieties of Fano type and projective toric varieties. We also prove KSC for group endomorphisms of linear algebraic groups. We also propose a possible approach to the conjecture using equivariant MMP.