Erratum: article Melles-Milman, Lemma 4.5, p. 719-720, fascicule 4, 2006
Classical Poincaré metric pulled back off singularities using a Chow-type theorem and desingularization
We construct complete Kähler metrics on the nonsingular set of a subvariety of a compact Kähler manifold. To that end, we develop (i) a constructive method for replacing a sequence of blow-ups along smooth centers, with a single blow-up along a product of coherent ideals corresponding to the centers and (ii) an explicit local formula for a Chern form associated to this ‘singular’ blow-up. Our metrics have a particularly simple local formula of a sum of the original metric and of the pull back...
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