Interpolation of characteristic classes of singular hypersurfaces

Advances in Mathematics - Tập 180 - Trang 692-704 - 2003
Paolo Aluffi1, Jean-Paul Brasselet2
1Mathematics Department, Florida State University, Tallahassee, FL 32306, USA
2IML—CNRS, Case 907, Luminy, 13288 Marseille Cedex 9, France

Tài liệu tham khảo

Aluffi, 1994, MacPherson's and Fulton's Chern classes of hypersurfaces, Internat. Math. Res. Notices, 11, 455, 10.1155/S1073792894000498 Aluffi, 1999, Chern classes for singular hypersurfaces, Trans. Amer. Math. Soc., 351, 3989, 10.1090/S0002-9947-99-02256-4 Aluffi, 2000, Weighted Chern–Mather classes and Milnor classes of hypersurfaces, Vol. 29, 1 Barthel, 1995, Relèvement de cycles algébriques et homomorphismes associés en homologie d'intersection, Ann. of Math. (2), 141, 147, 10.2307/2118630 Bekka, 1991, C-régularité et trivialité topologique, 42 J.-P. Brasselet, Milnor classes via polar varieties, in: Singularities in algebraic and analytic geometry (San Antonio, TX, 1999), Contemporary Mathematics, Vol. 266, American Mathematical Society, Providence, RI, 2000, pp. 181–187. J.-P. Brasselet, G. Gonzalez-Sprinberg, Sur l'homologie d'intersection et les classes de Chern des variétés singulières (espaces de Thom, exemples de J.-L. Verdier et M. Goresky), in: Géométrie algébrique et applications, II (La Rábida, 1984), Travaux en cours 23. With an appendix by Verdier, Hermann, Paris, 1987, pp. 5–14. Brasselet, 2002, Milnor classes of local complete intersections, Trans. Amer. Math. Soc., 354, 1351, 10.1090/S0002-9947-01-02846-X J.-P. Brasselet, A. Weber, A canonical lift of Chern–Mather classes to intersection homology, Preprint, 1997. Fulton, 1984 Lê, 1983, Variétés caractéristiques et variétés polaires, C. R. Acad. Sci. Paris Sér. I Math., 296, 129 Lê, 1981, Variétés polaires locales et classes de Chern des variétés singulières, Ann. of Math. (2), 114, 457, 10.2307/1971299 MacPherson, 1974, Chern classes for singular algebraic varieties, Ann. of Math. (2), 100, 423, 10.2307/1971080 Parusiński, 2001, Characteristic classes of hypersurfaces and characteristic cycles, J. Algebraic Geom., 10, 63 Piene, 1978, Polar classes of singular varieties, Ann. Sci. École Norm. Sup. (4), 11, 247, 10.24033/asens.1346 Piene, 1988, Cycles polaires et classes de Chern pour les variétés projectives singulières, II, 7 J. Schürmann, Topology of singular spaces and constructible sheaves, available at http://www.math.uni-hamburg.de/home/schuermann, 2000.