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arXiv · 2211.03415

Minimization of Arakelov K-energy for many cases

Masafumi Hattori·Yuji Odaka
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Abstract

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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Masafumi Hattori, Yuji Odaka. 2022-11-07. Minimization of Arakelov K-energy for many cases. https://arxiv.org/abs/2211.03415

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