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Original Articles

Kähler–de Rham Cohomology and Chern Classes

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Pages 1153-1167 | Received 16 Oct 2009, Published online: 18 Mar 2011

REFERENCES

  • Arapura , D. ( 1990 ). Local cohomology of sheaves of differential forms and Hodge theory . J. Reine Angew. Math. 409 : 172 – 179 .
  • Bonnet , P. ( 2006 ). Cohomology of regular differential forms for affine curves . Bull. Sci. Math. 130 : 312 – 329 .
  • Bloom , T. , Herrera , M. ( 1969 ). De Rham cohomology of an analytic space . Invent. Math. 7 : 275 – 296 .
  • Barbieri-Viale , L. , Srinivas , V. ( 1994 ). The Neron–Severi group and the mixed Hodge structure on H 2; Appendix to: On the Neron–Severi group of a singular variety [J. Reine Angew. Math. 435 (1993), 65–82] . J. Reine Angew. Math. 450 : 37 – 42 .
  • Deligne , P. ( 1974 ). Theorie de Hodge III . Inst. Hautes Études Sci. Publ. Math. 44 : 5 – 77 .
  • Du Bois , P. ( 1981 ). Complexes de de Rham filtres d'une variété singulière . Bull. Soc. Math. France 109 : 41 – 81 .
  • Esnault , H. , Srinivas , V. , Viehweg , E. ( 1999 ). The universal regular quotient of the Chow group of points on projective varieties . Invent. Math. 135 : 595 – 664 .
  • Fulton , W. ( 1975 ). Rational equivalence on singular varieties . Inst. Hautes Études Sci. Publ. Math. 45 : 147 – 167 .
  • Fulton , W. ( 1998 ). Intersection Theory . Berlin : Springer-Verlag, xiv+ 470 pp .
  • Greuel , G.-M. ( 1980 ). Dualität in der cohomologie isolierter Singularitäten . Math. Ann. 250 : 157 – 173 .
  • Grothendieck , A. ( 1958 ). La théorie des classes de Chern . Bull. Soc. Math. France 86 : 137 – 154 .
  • Grothendieck , A. , Dieudonné , J. ( 1964–1967 ). Eléments de Géometrie Algébrique IV . Publ. Math. IHES 20, 24, 28, 32 .
  • Jannsen , U. ( 1990 ). Mixed Motives and Algebraic K-Theory . With appendices by S. Bloch and C. Schoen , LNM, 1400. Berlin : Springer-Verlag , xiv+ 246 pp .
  • Levine , M. (1992). Deligne–Beilinson cohomology for singular varieties. Algebraic K-Theory, Commutative Algebra, and Algebraic Geometry (Santa Margherita Ligure, 1989). Contemp. Math., 126. Providence , RI : Amer. Math. Soc., pp. 113–146.
  • Lewis , J. ( 1999 ). A Survey of the Hodge Conjecture. , 2nd ed. Appendix B by B. Brent Gordon. CRM Monograph Series , 10. Providence, RI : AMS , xvi+ 368 pp.
  • Peters , C. , Steenbrink , J. ( 2008 ). Mixed Hodge Structure . Berlin : Springer-Verlag , 470 pp.
  • Rossi , M. , Terracini , L. MAPLE subroutines for computing Milnor and Tyurina numbers of hypersurface singularities with application to Arnol'd adjacencies . Preprint (arXiv:0809.4345v2) .
  • Communicated by C. Pedrini.

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