Einstein-Kaehler Metrics on Symmetric Toric Fano Manifolds
| dc.creator | Batyrev, Victor V. | |
| dc.creator | Selivanova, Elena N. | |
| dc.date | 1999-01-01 | |
| dc.date.accessioned | 2026-07-07T05:27:25Z | |
| dc.date.available | 2026-07-07T05:27:25Z | |
| dc.description | Let $X$ be a complex toric Fano $n$-fold and ${\cal N}(T)$ the normalizer of a maximal torus $T$ in the group of biholomorphic authomorphisms $Aut(X)$. We call $X$ {\em symmetric} if the trivial character is a single ${\cal N}(T)$-invariant algebraic character of $T$. Using an invariant $α_G(X)$ introduced by Tian, we show that all symmetric toric Fano $n$-folds admit an Einstein-Kähler metric. We remark that so far one doesn't know any example of a toric Fano $n$-fold $X$ such that $Aut(X)$ is reductive, the Futaki character of $X$ vanishes, but $X$ is not symmetric. | |
| dc.description | 13 pages, AMS-LaTeX | |
| dc.identifier | https://arxiv.org/abs/math/9901001 | |
| dc.identifier | http://arxiv.org/abs/math/9901001 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/77914 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | Analysis of PDEs | |
| dc.subject | Complex Variables | |
| dc.subject | Differential Geometry | |
| dc.title | Einstein-Kaehler Metrics on Symmetric Toric Fano Manifolds | |
| dc.type | text |