Riemann-Roch for general algebraic varieties

William Fulton; Henri Gillet

Bulletin de la Société Mathématique de France (1983)

  • Volume: 111, page 287-300
  • ISSN: 0037-9484

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Fulton, William, and Gillet, Henri. "Riemann-Roch for general algebraic varieties." Bulletin de la Société Mathématique de France 111 (1983): 287-300. <http://eudml.org/doc/87442>.

@article{Fulton1983,
author = {Fulton, William, Gillet, Henri},
journal = {Bulletin de la Société Mathématique de France},
keywords = {Grothendieck-Riemann-Roch theorem; algebraic schemes; algebraic -schemes},
language = {eng},
pages = {287-300},
publisher = {Société mathématique de France},
title = {Riemann-Roch for general algebraic varieties},
url = {http://eudml.org/doc/87442},
volume = {111},
year = {1983},
}

TY - JOUR
AU - Fulton, William
AU - Gillet, Henri
TI - Riemann-Roch for general algebraic varieties
JO - Bulletin de la Société Mathématique de France
PY - 1983
PB - Société mathématique de France
VL - 111
SP - 287
EP - 300
LA - eng
KW - Grothendieck-Riemann-Roch theorem; algebraic schemes; algebraic -schemes
UR - http://eudml.org/doc/87442
ER -

References

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  1. [1] BAUM (P.), FULTON (W.) and MACPHERSON (R.). — Riemann-Roch for singular varieties, Publ. Math. I.H.E.S., No. 45, 1975, pp. 101-167. Zbl0332.14003MR54 #317
  2. [2] BAUM (P.), FULTON (W.) and MACPHERSON (R.). — Riemann-Roch and topological K-theory for singular varieties, Acta math., Vol. 143, 1979, pp. 155-192. Zbl0474.14004MR82c:14021
  3. [3] BERTHELOT (P.), GROTHENDIECK (A.), ILLUSIE (L.) et al. Theorie des intersections et théorème de Riemann-Roch, Springer LN, Vol. 225, 1971. Zbl0218.14001MR50 #7133
  4. [4] BOREL (A.) and SERRE (J.-P.). — Le théorème de Riemann-Roch, d'après A. Grothendieck, Bull. Soc. math. France, T. 86, 1958, pp. 97-136. Zbl0091.33004MR22 #6817
  5. [5] FULTON (W.). — A Hirzebruch-Riemann-Roch formula for analytic spaces and non-projective algebraic varieties, Compositio Math., Vol. 34, 1977, pp. 279-283. Zbl0367.14008MR57 #317
  6. [6] FULTON (W.). — Intersection Theory (to appear). Zbl0885.14002
  7. [7] FULTON (W.) and MACPHERSON (R.). — Categorical framework for the study of singular spaces, Memoirs A.M.S., Vol. 243, 1981. Zbl0467.55005MR83a:55015
  8. [8] GILLET (H.). — Riemann-Roch theorems for higher algebraic K-theory, Advances in Math., Vol. 40, 1981, pp. 203-289. Zbl0478.14010MR83m:14013
  9. [9] GILLET (H.), Comparison of K-theory spectral sequences, with applications in Algebraic K-Theory, Evanston, 1980, Springer LN 854, 1981, pp. 141-167. Zbl0478.14011MR83a:14021
  10. [10] GROTHENDIECK (A.) with DIEUDONNÉ (J.). — Éléments de Géométrie algébrique II, Publ. Math. I.H.E.S., No. 8, 1961. Zbl0118.36206
  11. [11] O'BRIAN (N. R.), TOLEDO (T.) and TONG (Y. L.). — Grothendieck-Riemann-Roch for complex manifolds, Bull. A.M.S., Vol. 5, 1981, pp. 182-184. Zbl0495.14010MR82m:32011
  12. [12] QUILLEN (D.). — Higher algebraic K-theory I, Springer LN 341, 1973, pp. 85-147. Zbl0292.18004MR49 #2895
  13. [13] VERDIER (J.-L.). — Le théorème de Riemann-Roch pour les intersections complètes, Astérisque, Vol. 36-37, 1976, pp. 189-228. Zbl0334.14026

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