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Riemann-Roch for singular varieties. (English) Zbl 0332.14003

14C15(Equivariant) Chow groups and rings; motives
14B05Singularities (algebraic geometry)
14F05Sheaves, derived categories of sheaves, etc.
Full Text: DOI Numdam EuDML
[1] M. F. Atiyah andF. Hirzebruch, Analytic cycles on complex manifolds,Topology,1, 1961, 25--45. · Zbl 0108.36401 · doi:10.1016/0040-9383(62)90094-0
[2] M. F. Atiyah andF. Hirzebruch, The Riemann-Roch theorem for analytic embeddings,Topology,1, 1961, 151--166. · Zbl 0108.36402 · doi:10.1016/0040-9383(65)90023-6
[3] W. Fulton, Rational equivalence on singular varieties, Appendix to this paper,Publ. Math. I.H.E.S., no 45 (1975), 147--167. · Zbl 0332.14002
[4] P. Baum, Riemann-Roch for singular varieties,A.M.S. Proceedings, Institute on Differential Geometry, Summer 1973, to appear.
[5] P. Baum, W. Fulton andR. MacPherson,Riemann-Roch and topological K-theory, to appear.
[6] A. Borel andJ.-P. Serre, Le théorème de Riemann-Roch,Bull. Soc. Math. France,86 (1958), 97--136. · Zbl 0091.33004
[7] A. Grothendieck andJ. Dieudonné, Eléments de géométrie algébrique,Publ. Math. I.H.E.S., nos 4, 8, 11, 17, 20, 24, 28, 32, 1960--67.
[8] W. Fulton, Riemann-Roch for singular varieties,Algebraic Geometry, Arcata 1974, Proc. of Symp. in Pure Math.,29, 449--457.
[9] A. Grothendieck, La théorie des classes de Chern,Bull. Soc. Math. France,86 (1958), 137--154. · Zbl 0091.33201
[10] R. MacPherson,Analytic vector-bundle maps, to appear. · Zbl 0283.58005
[11] R. MacPherson, Chern classes of singular varieties,Ann. of Math,100 (1974). · Zbl 0311.14001
[12] M. Raynaud, Flat modules in algebraic geometry,Algebraic Geometry, Oslo 1970, Proceedings of the 5th Nordic Summer-School in Mathematics, 255--275, Wolters-Noordhoff, Groningen, 1970.
[13] J.-P. Serre, Algèbre locale; multiplicités,Springer Lecture Notes in Mathematics,11 (1965).
[14] P. Berthelot, A. Grothendieck, L. Illusie et al., Théorie des intersections et théorème de Riemann-Roch,Springer Lecture Notes in Mathematics,225 (1971). · Zbl 0218.14001