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- W1570686654 abstract "Let $Xhookrightarrow cpn $ be a smooth complex projective variety of dimension $n$. Let $lambda$ be an algebraic one parameter subgroup of $G:=gc$. Let $ 0leq lleq n+1$. We associate to the coefficients $F_{l}(lambda)$ of the normalized weight of $lambda$ 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 $lambda$ is the weight $F_{l}(lambda)$. $F_{om,l}(vp)$ reduces to the Aubin energy when $l=0$ and the K-Energy map of Mabuchi when $l=1$. When $lgeq 2$ $F_{om,l}(vp)$ coincides (modulo lower order terms) with the functional $E_{om,l-1}(vp)$ introduced by X.X. Chen and G.Tian." @default.
- W1570686654 created "2016-06-24" @default.
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- W1570686654 date "2007-07-18" @default.
- W1570686654 modified "2023-09-27" @default.
- W1570686654 title "Higher Energies in Kahler Geometry I" @default.
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