Heisuke Hironaka

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Let ξ ∈ X ⊂ Z be a singular point of a hypersurface X in a smooth ambient manifold Z. Let b = mult ξ X be the multiplicity of X at ξ, i.e., the order (of vanishing) of the defining equation f ∈ O Z,ξ of X ⊂ Z. The infinitely near singular points of X at ξ means those points of the permissible birational tansforms˜X of X which are mapped to ξ and have the(More)
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