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...
Complex Analytic and Formal Solutions of Real Analytic Equations in Cn.
Analytic and Polynominal Homomorphisms of Analytic Rings.
Semianalytic and subanalytic sets
Arc-analytic functions.
Local analytic invariants
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