Théorème de Riemann-Roch par désingularisation

B. Angéniol; F. El Zein

Bulletin de la Société Mathématique de France (1988)

  • Volume: 116, Issue: 4, page 385-400
  • ISSN: 0037-9484

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Angéniol, B., and El Zein, F.. "Théorème de Riemann-Roch par désingularisation." Bulletin de la Société Mathématique de France 116.4 (1988): 385-400. <http://eudml.org/doc/87560>.

@article{Angéniol1988,
author = {Angéniol, B., El Zein, F.},
journal = {Bulletin de la Société Mathématique de France},
keywords = {resolution of singularities; Riemann-Roch theorem; rational Chow ring; K- theory},
language = {fre},
number = {4},
pages = {385-400},
publisher = {Société mathématique de France},
title = {Théorème de Riemann-Roch par désingularisation},
url = {http://eudml.org/doc/87560},
volume = {116},
year = {1988},
}

TY - JOUR
AU - Angéniol, B.
AU - El Zein, F.
TI - Théorème de Riemann-Roch par désingularisation
JO - Bulletin de la Société Mathématique de France
PY - 1988
PB - Société mathématique de France
VL - 116
IS - 4
SP - 385
EP - 400
LA - fre
KW - resolution of singularities; Riemann-Roch theorem; rational Chow ring; K- theory
UR - http://eudml.org/doc/87560
ER -

References

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  1. [A-L] ANGÉNIOL (B.) et LEJEUNE (M.). - Calcul différentiel et classes caractéristiques en géométrie algébrique. - A paraître chez Hermann, Paris, France. Zbl0749.14008
  2. [B-S] BOREL (A.) et SERRE (J.-P.). - Le théorème de Riemann-Roch, Bull. Soc. Math. France, t. 86, 1958, p. 97-136. Zbl0091.33004MR22 #6817
  3. [E] EL ZEIN (F.). - Mixed Hodge Structures, Trans. Amer. Math. Soc., t. 275, 1983, p. 71-106. Zbl0511.14003MR85g:14010
  4. [F] FULTON (W.). - Intersection Theory, Ergebnisse der Math. - Springer Verlag. 
  5. [F-G] FULTON (W.) and GILLET (H.). - Riemann-Roch for general algebraic schemes, Bull. Soc. Math. France, t. 111, 1983, p. 287-300. Zbl0579.14013MR85h:14010
  6. [G] GILLET (H.). - Homological descent for the K-theory of coherent sheaves, Springer Lectures Notes 1046. Zbl0557.14009MR86a:14016
  7. [Gr] GRAYSON (D.). - Products in K-theory and intersecting algebraic cycles, Invent. Math., t. 47, 1978, p. 71-84. Zbl0394.14004MR58 #10890
  8. [Q] QUILLEN (D.). - Higher algebraic K-theory I, Lecture Notes in Math. 341, Springer Verlag. Zbl0292.18004MR49 #2895
  9. [EGA II] DIEUDONNÉ (J.) et GROTHENDIECK (A.). - Éléments de Géométrie Algébrique, Publ. Math. IHES 8, 1961. 
  10. [SGA 6] BERTHELOT (P.), GROTHENDIECK (A.) et ILLUSIE (L.). - Théorie des Intersections et Théorème de Riemann-Roch, 1966-1967, Springer Lecture Notes 225, 1971. Zbl0218.14001

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