Minimization of Arakelov K-energy for many cases
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2022
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| Acceso en línea: | |
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| _version_ | 1866911863713824768 |
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| author | Hattori, Masafumi Odaka, Yuji |
| author_facet | Hattori, Masafumi Odaka, Yuji |
| contents | 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]. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2211_03415 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Minimization of Arakelov K-energy for many cases Hattori, Masafumi Odaka, Yuji Algebraic Geometry Differential Geometry 14E30, 14G40, 32Q26 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]. |
| title | Minimization of Arakelov K-energy for many cases |
| topic | Algebraic Geometry Differential Geometry 14E30, 14G40, 32Q26 |
| url | https://arxiv.org/abs/2211.03415 |