Lectures in mathematics : Kyoto University

vol. 13

Geometry of tangents on singular spaces and Chern classes / by Lê Dung Tráng ; notes prepared by T. Urabe
c1981

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Chapter I. Geometry of Tangents
§ 1. Nash Modification 1
§ 2. Whitney Lemma 8
§ 3. Surfaces 16
§ 4. Higher Dimensional Cases 29
Chapter II. Singular Chern Class
§ 1. Review of Obstruction Theory 35
§ 2. Euler Obstruction 37
§ 3. Lê-Teissier Formula 45
§ 4. MacPherson's Theory of Singular Chern Classes 50
Chapter III. Whitney Stratification
§ 1. Whitney Stratification 61
§ 2. Chern-Mather Class of Projective Varieties 65
§ 3. Numerical Characterization of Whitney Condition 67
References 75

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