The Futaki invariant and the Mabuchi energy of a complete intersection
| dc.creator | Phong, D. H. | |
| dc.creator | Sturm, Jacob | |
| dc.date | 2003-12-31 | |
| dc.date.accessioned | 2026-07-07T05:04:19Z | |
| dc.date.available | 2026-07-07T05:04:19Z | |
| dc.description | We study the Futaki invariant and the Mabuchi K-energy of a Kähler 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. | |
| dc.description | 21 pages | |
| dc.identifier | https://arxiv.org/abs/math/0312529 | |
| dc.identifier | http://arxiv.org/abs/math/0312529 | |
| dc.identifier | Comm. in Analysis and Geometry (2004) 12, 323-345 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/69759 | |
| dc.subject | Differential Geometry | |
| dc.subject | Algebraic Geometry | |
| dc.title | The Futaki invariant and the Mabuchi energy of a complete intersection | |
| dc.type | text |