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Bulletin of the American Mathematical Society
Bulletin of the American Mathematical Society
ISSN 1088-9485(e) ISSN 0273-0979(p)

     

Riemann-Roch theorems for higher algebraic $K$-theory

Author(s): Henri Gillet
Journal: Bull. Amer. Math. Soc. 3 (1980), 849-852.
MSC (1980): Primary 14F12, 14C35; Secondary 18F25
MathSciNet review: 578377
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References | Similar articles | Additional information

References:

1.
P. Baum, W. Fulton and R. MacPherson, Riemann-Roch for singular varieties, Inst. Hautes Études Sci. Publ. Math. 45 (1975), 101-146. MR 412190
2.
P. Baum, Riemann-Roch and topological K-theory, Acta. Math, (to appear). MR 389907
3.
S. Bloch, Algebraic K-theory and crystalline cohomology, Inst. Hautes Études Sci. Publ. Math. 47 (1977), 187-268. MR 488288
4.
S. Bloch and A. Ogus, Gesten's conjecture and the homology of schemes, Ann. Sci. École Norm. Sup. 7 (1974), 181-202. MR 412191
5.
A. K. Bousfield and D. M. Kan, Homotopy limits, completions and localizations, Lecture Notes in Math., vol. 304, Springer-Verlag, Berlin and New York, 1972. MR 365573
6.
K. Brown, Abstract homotopy theory and generalized sheaf cohomology, Trans. Amer. Math. Soc. 186 (1973), 419-458. MR 341469
7.
B. Iversen, Local Chern classes, Ann. Sci. École Norm. Sup 9 (1976), 155-169. MR 460332
8.
D. Quillen, Higher algebraic K-theory. I, Lecture Notes in Math., vol. 341, Springer-Verlag, Berlin and New York, 1972. MR 338129
9.
C. Soulé, Thesis, University of Paris, 1979.

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Additional Information:

DOI: 10.1090/S0273-0979-1980-14828-4
PII: S 0273-0979(1980)14828-4




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