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A formula for Segre
classes of singular projective varieties
Shoji Yokura |
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Vol. 146 (1990), No. 2, 385–394
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Abstract |
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The Segre class of a singular projective variety X is that of the normal cone of the diagonal in the product X × X. This class was introduced by K. W. Johnson and W. Fulton to study immersions and embeddings. In our previous work we related the Segre classes and the Chern-Mather classes for hypersurfaces with codimension one singularities and Xn ⊂ ℙ2n with isolated singularities. In this paper we generalize these results to the case of Xn ⊂ ℙN with singularities of codimension N − n (N ≤ 2n). |
Mathematical Subject Classification 2000
Primary: 14C17
Secondary: 14E15
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Milestones
Received: 17 January 1989
Published: 1 December 1990
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Authors |
| Shoji Yokura | |
| Department of Mathematics and
Computer Science Faculty of Science, Kagoshima University 1-21-35 Korimoto Kagoshima 890-0065 Japan |
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