超判别多面体、Chow多面体和Mabuchi能量渐近
Hyperdiscriminant polytopes, Chow polytopes, and Mabuchi energy asymptotics
摘要：
设X是光滑的线性正规代数簇.证明了X的限制于Bergman度量的Mabuchi能量完全由X的（n-1）式超判别式和Chow式决定。作为推论，证明了G中所有退化的Mabuchi能量是下界的当且仅当G中所有极大代数环面H的超判别多面体优于Chow多面体.
英文摘要：
Let X be a smooth, linearly normal algebraic variety. It is shown that the Mabuchi energy of X restricted to the Bergman metrics is completely determined by the X-hyperdiscriminant of format (n-1) and the Chow form of X. As a corollary it is shown that the Mabuchi energy is bounded from below for all degenerations in G if and only if the hyperdiscriminant polytope dominates the Chow polytope for all maximal algebraic tori H of G .
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
