CM Stability And The Generalized Futaki Invariant II
| dc.creator | Paul, Sean Timothy | |
| dc.creator | Tian, Gang | |
| dc.date | 2006-06-20 | |
| dc.date | 2008-04-23 | |
| dc.date.accessioned | 2026-07-07T09:34:04Z | |
| dc.date.available | 2026-07-07T09:34:04Z | |
| dc.description | The Mabuchi K-energy map is exhibited as a singular metric on the refined CM polarization of any equivariant family $\mathbf{X}\overset{p}{\to} S$. Consequently we show that the generalized Futaki invariant is the leading term in the asymptotics of the reduced K-energy of the generic fiber of the map $p$. Properness of the K-energy implies that the generalized Futaki invariant is strictly negative. | |
| dc.description | 15, fully rewritten, references added | |
| dc.identifier | https://arxiv.org/abs/math/0606505 | |
| dc.identifier | http://arxiv.org/abs/math/0606505 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/159358 | |
| dc.subject | Differential Geometry | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 53C55 (Primary), 14D06 (Secondary) | |
| dc.title | CM Stability And The Generalized Futaki Invariant II | |
| dc.type | text |