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- W2022140345 abstract "We study the Futaki invariant and the Mabuchi K-energy of a Kahler manifold $M$ using the Deligne pairing technique developed in earlier papers. We first prove a rather simple characterization of the Futaki character: The Futaki character on a Q-Fano variety is the eigenvalue of the action of $Aut(M)$ on $Chow(M)$, the Chow point of $M$. We use this to give a new proof of Lu's theorem on the Futaki invariant of a complete intersection. In the last theorem, we prove a non-linear generalization of Lu's formula which expresses the K-energy of a smooth complete intersection as a singular norm on the space of defining polynomials." @default.
- W2022140345 created "2016-06-24" @default.
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- W2022140345 date "2003-12-31" @default.
- W2022140345 modified "2023-09-27" @default.
- W2022140345 title "The Futaki invariant and the Mabuchi energy of a complete intersection" @default.
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