论文标题
球形热带化和伯科维奇分析
Spherical tropicalization and Berkovich analytification
论文作者
论文摘要
令$ x $为球形品种。我们表明，Tevelev和Vogiannou的热带化映射从$ x $到其热带化因素，通过Berkovich Analytification $ x^{\ text {an}} $，如圆曲式品种的情况。此外，我们表明热带化是$ x^{\ text {an}} $的强变形缩回。我们还将Thuillier的分析$ x^{\ beth} $的强烈变形撤回到了使用$ x $的彩色风扇所描述的子空间上。
Let $X$ be a spherical variety. We show that Tevelev and Vogiannou's tropicalization map from $X$ to its tropicalization factors through the Berkovich analytification $X^{\text{an}}$, as in the case for toric varieties. Furthermore we show that the tropicalization is a strong deformation retraction of $X^{\text{an}}$. We also give a strong deformation retraction of Thuillier's analytification $X^{\beth}$ onto a subspace described using the colored fan of $X$.
