Kähler–Einstein Fano threefolds of degree 22
We study the problem of existence of Kähler–Einstein metrics on smooth Fano threefolds of Picard rank one and anticanonical degree 22 22 that admit a faithful action of the multiplicative group C ∗ \mathbb {C}^\ast . We prove that, with the possible exception of two explicitly described cases, all s...
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| Veröffentlicht in: | Journal of algebraic geometry 2023-07, Vol.32 (3), p.385-428 |
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| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | eng |
| Online-Zugang: | Volltext |
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| Zusammenfassung: | We study the problem of existence of Kähler–Einstein metrics on smooth Fano threefolds of Picard rank one and anticanonical degree
22
22
that admit a faithful action of the multiplicative group
C
∗
\mathbb {C}^\ast
. We prove that, with the possible exception of two explicitly described cases, all such smooth Fano threefolds are Kähler–Einstein. |
|---|---|
| ISSN: | 1056-3911 1534-7486 |
| DOI: | 10.1090/jag/812 |