Effective Faithful Tropicalizations Associated to Adjoint Linear Systems
Effective Faithful Tropicalizations Associated to Adjoint Linear Systems
复制标题
与伴随线性系统相关的有效忠实热带化
DOI：
10.1093/imrn/rnx302
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发表时间：
2018
影响因子：
1
通讯作者：
Yamaki Kazuhiko
中科院分区：
文献类型：
--
作者：
Kawaguchi Shu;Yamaki Kazuhiko
设R是具有分式域K的等特征零的完全离散赋值环。设X是连通光滑射影簇K，L是X上的充分线丛。我们假设存在XoverR的正则严格半稳定模型和相对充裕的线丛。让我们将与Berkovich分析XanofX相关联的骨架。本文研究了伴随线性系统|L⊗m⊗ωX|何时忠实地热带化为热带射影空间。粗略地说，我们的结果表明，如果一个整数使得伴随丛是无基点的，则伴随线性系统允许忠实的热带化。
LetRbe a complete discrete valuation ring of equi-characteristic zero with fraction fieldK. LetXbe a connected smooth projective variety of dimensiondoverK, and letLbe an ample line bundle overX. We assume that there exist a regular strictly semistable modelofXoverRand a relatively ample line bundleoverwith. Letbe the skeleton associated toin the Berkovich analytificationXanofX. In this article, we study whenis faithfully tropicalized into tropical projective space by the adjoint linear system |L⊗m⊗ωX|. Roughly speaking, our results show that ifmis an integer such that the adjoint bundle is basepoint free, then the adjoint linear system admits a faithful tropicalization of.