Explicit Construction of Complete Kahler Metrics of Saper Type by Desingularization
| dc.creator | Melles, Caroline Grant | |
| dc.creator | Milman, Pierre | |
| dc.date | 1999-07-09 | |
| dc.date | 2000-04-14 | |
| dc.date.accessioned | 2026-07-07T05:29:50Z | |
| dc.date.available | 2026-07-07T05:29:50Z | |
| dc.description | We construct complete Kahler metrics of Saper type on the nonsingular set of a subvariety X of a compact Kahler manifold using (a) a method for replacing a sequence of blow-ups along smooth centers, used to resolve the singularities of X, with a single blow-up along a product of coherent ideals corresponding to the centers and (b) an explicit local formula for a Chern form associated to this single blow-up. Our metrics have a particularly simple local formula, involving essentially a product of distances to the centers of the blow-ups used to resolve the singularities of X. Our proof of (a) uses a generalization of Chow's theorem for coherent ideals, proved using the Direct Image Theorem. | |
| dc.description | amstex, 43 pages, corrected example pp 41 - 42 | |
| dc.identifier | https://arxiv.org/abs/math/9907056 | |
| dc.identifier | http://arxiv.org/abs/math/9907056 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/78796 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 32S20, 14E15 | |
| dc.title | Explicit Construction of Complete Kahler Metrics of Saper Type by Desingularization | |
| dc.type | text |