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Grothendieck-Riemann-Roch for complex manifolds
Author(s):
Nigel R.
O'Brian;
Domingo
Toledo;
Yue Lin L.
Tong
Journal:
Bull. Amer. Math. Soc.
5
(1981),
182-184.
MSC (1980):
Primary 14C20, 32L10
MathSciNet review:
621887
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Additional information
References:
- 1.
- M. F. Atiyah, Complex analytic connections in fibre bundles, Trans. Amer. Math. Soc. 85 (1957), 181-207. MR 86359
- 2.
- M. F. Atiyah and F. Hirzebruch, The Riemann-Roch theorem for analytic embeddings, Topology 1 (1962), 151-166. MR 148084
- 3.
- A. Borel and J.-P. Serre, Le Théorème de Riemann-Roch, Bull. Soc. Math. France 86 (1958), 97-136. MR 116022
- 4.
- A. Douady, Le théorème des images directes de Grauert (d'après Kiehl-Verdier), Seminaire Bourbaki, exposé 404, (1971).
- 5.
- S. Eilenberg and S. Mac Lane, On the groups H(II, n). I, Ann. of Math. (2) 58 (1953), 55-106. MR 56295
- 6.
- H. Green, Preprint, Univ. of Warwick, 1979.
- 7.
- A. Grothendieck, Problèmes ouverts en théorie des intersections, Théorie des Intersections et Théorème de Riemann-Roch (SGA 6), Lecture Notes in Math., vol. 225, Springer-Verlag, Berlin and New York, 1971, pp. 667-688. MR 354655
- 8.
- F. Hirzebruch, Komplexe Mannigfaltigkeiten, Proc. Internat. Congr. Math. (1958), Cambridge Univ. Press, New York, 1960, pp. 119-136. MR 123733
- 9.
- N. R. O'Brian, D. Toledo and Y. L. L. Tong, A trace map and characteristic classes for coherent sheaves, Amer. J. Math. 103 (1981), 225-252. MR 610475
- 10.
- N. R. O'Brian, D. Toledo and Y. L. L. Tong, Hirzebruch-Riemann-Roch for coherent sheaves, Amer. J. Math. 103 (1981), 253-271. MR 610476
- 11.
- J.-P. Ramis and G. Ruget, Résidus et dualité, Invent. Math. 26 (1974), 89-131. MR 352522
- 12.
- D. Toledo and Y. L. L. Tong, A parametrix for $øverline \partial $ and Riemann-Roch in Čech Theory, Topology 15 (1976), 273-301. MR 438401
- 13.
- D. Toledo and Y. L. L. Tong, Duality and intersection theory in complex manifolds. I, Math. Ann. 237 (1978), 41-77. MR 506654
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Additional Information:
DOI:
10.1090/S0273-0979-1981-14939-9
PII:
S 0273-0979(1981)14939-9
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