论文标题

在许多情况下,Arakelov K-Energy最小化

Minimization of Arakelov K-energy for many cases

论文作者

Hattori, Masafumi, Odaka, Yuji

论文摘要

We prove that for various polarized varieties over $\overline{\mathbb{Q}}$, which broadly includes K-trivial case, K-ample case, Fano case, minimal models, certain classes of fibrations, certain metrized "minimal-like" models minimizes the Arakelov theoretic analogue of the Mabuchi K-energy, as conjectured in [Od15].这是[H22B]的Arakelov理论类似物。

We prove that for various polarized varieties over $\overline{\mathbb{Q}}$, which broadly includes K-trivial case, K-ample case, Fano case, minimal models, certain classes of fibrations, certain metrized "minimal-like" models minimizes the Arakelov theoretic analogue of the Mabuchi K-energy, as conjectured in [Od15]. This is an Arakelov theoretic analogue of [H22b].

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