Chern classes for singular hypersurfaces

Transactions of the American Mathematical Society

Volumn 351, Issue 10, 1999, Pages 3989-4026

  Aluffi, Paolo ^a  

^a FLORIDA STATE UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 22844454384     PISSN: 00029947     EISSN: None     Source Type: Journal    
DOI: 10.1090/s0002-9947-99-02256-4     Document Type: Article

References (21)

1. [Aluffil] P. Aluffi, Singular schemes of hypersurfaces, Duke Math. J. 80 (1995), 325-351. MR 97b:14057
2. [Aluffi2] P. Aluffi, MacPherson's and Fulton's Chern Classes of Hypersurfaces, I.M.R.N. (1994), 455-4G5. MR 96d:14004
3. [A-F] P. Aluffi, C. Faber, A remark on the Chern class of a tensor product, Manu. Math. 88 (1995), 85-86. MR 96e:14002
4. [B-S] J.-P. Brasselet, M.-H. Schwartz, Sur les classes de Chern d'un ensemble analytique complexe, Astérisque 82-83 (1981), 93-147. MR 83h:32011
5. [BDK] J.-L. Brylinski, A. Dubson, M. Kashiwara, Formule de l'indice pour les Modules Holonomes et obstruction d'Euler locale, C. R. Acad. Sei. Paris Sér. I Math. 293 (1981), 573-576. MR 83a:32010
6. [BFM] P. Baum, W. Fulton, R. MacPherson, Riemann-Roch for singular variety, Publ. Math. I.H.E.S. 45 (1975), 101-145. MR 54:317
7. [BMM] J. Briançon, P. Maisonobe, M. Merle, Localisation de systèmes différentiels, stratifications de \Vhitney et condition de Thorn, Invent. Math. 117 (1994), 531-550. MR 95h:32043
8. [Fulton] W. Fulton, Intersection Theory, Springer Verlag, 1984. MR 85k:14004
9. [Ginsburg] V. Ginsburg, Characteristic varieties and vanishing cycles, Invent. Math. 84 (1986), 327-402. MR 87j:32030
10. [Kennedy] G. Kennedy, MacPherson's Chern classes of singular algebraic varieties, Comm. in Algebra 18 (1990), 2821-2839. MR 91h:14010
11. [Kwiecinski] M. Kwiecinski, Sur le transformé de Nash et la construction du graphe de MacPherson, Thèse, Université de Provence (1994).
12. [Lé-Mebkhout] Le Dung Tràng and Z. Mebkhout, Variétés caractéristiques et variétés polaires, C. R. Acad. Sei. Paris Sér. I Math. 296 (1983), 129-132. MR 84g:32018
13. [MacPherson] R. MacPherson, Chern classes for singular algebraic varieties, Annals of Math. 100 (1974), 423-432. MR 50:13587
14. [Massey] D. Massey, Numerical invariants of perverse sheaves, Duke Math. J. 73 (1994), 307-369. MR 95e:32045
15. [Nobile] A. Nobilc, Some properties of the Nash blowing-up, Pacific J. of Math. 60 (1975), 297-305. MR 53:13217
16. [Parusinskil] A. Parusinski, A generalization of the Milnor number, Math. Ann. 281 (1988), 247-254. MR 89k:32023
17. [Parusinski2] A. Parusinski, Limits of tangent spaces to fibres and the wj condition, Duke Math. J. 72 (1993), 99-108. MR 941:32059
18. [Sabbah] C. Sabbah, Quelque remarques sur la géométrie des espaces conormaux, Astérisque 130 (1985), 161-192. MR 87f:32031
19. [Schwartz] M.-H. Schwartz, Classes caractéristiques définies par une stratification d'une variété analytique complexe, C. R. Acad. Sei. Paris 260 (1965), 3262-3264, 3535-3537. MR 32:1727; MR 35:3707
20. [Silvotti] R. Silvotti, On a conjecture of Varchenko, Invent. Math. 126 (1996), 235-248. MR 98d:32038
21. [Suwa] T. Suwa, Classes de Chern des intersections complètes locales, C. R. Acad. Sei. Paris Sér. I Math. 324 (1997), 67-70. MR 97m:14003