Explicit Construction of Complete Kahler Metrics of Saper Type by Desingularization

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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.
amstex, 43 pages, corrected example pp 41 - 42

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Algebraic Geometry, 32S20, 14E15

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http://salesiana.dossiersoluciones.com/handle/123456789/78796

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/9907056
 http://arxiv.org/abs/math/9907056

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arXiv