Higher Energies in Kahler Geometry I
| dc.creator | Paul, Sean Timothy | |
| dc.date | 2007-07-18 | |
| dc.date.accessioned | 2026-07-07T08:18:57Z | |
| dc.date.available | 2026-07-07T08:18:57Z | |
| dc.description | Let $X\hookrightarrow \cpn $ be a smooth complex projective variety of dimension $n$. Let $λ$ be an algebraic one parameter subgroup of $G:=\gc$. Let $ 0\leq l\leq n+1$. We associate to the coefficients $F_{l}(λ)$ of the normalized weight of $λ$ on the $mth$ Hilbert point of $X$ new energies $F_{\om,l}(\vp)$. The (logarithmic) asymptotics of $F_{\om,l}(\vp)$ along the potential deduced from $λ$ is the weight $F_{l}(λ)$. $F_{\om,l}(\vp)$ reduces to the Aubin energy when $l=0$ and the K-Energy map of Mabuchi when $l=1$. When $l\geq 2$ $F_{\om,l}(\vp)$ coincides (modulo lower order terms) with the functional $E_{\om,l-1}(\vp)$ introduced by X.X. Chen and G.Tian. | |
| dc.description | 24 pages | |
| dc.identifier | https://arxiv.org/abs/0707.2621 | |
| dc.identifier | http://arxiv.org/abs/0707.2621 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/134612 | |
| dc.subject | Differential Geometry | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 53C55 | |
| dc.title | Higher Energies in Kahler Geometry I | |
| dc.type | text |