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Grothendieck-Riemann-Roch for complex manifolds. (English) Zbl 0495.14010


MSC:

14C40 Riemann-Roch theorems
14C20 Divisors, linear systems, invertible sheaves
32L10 Sheaves and cohomology of sections of holomorphic vector bundles, general results
57R20 Characteristic classes and numbers in differential topology
32Q99 Complex manifolds
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[9] Nigel R. O’Brian, Domingo Toledo, and Yue Lin L. Tong, The trace map and characteristic classes for coherent sheaves, Amer. J. Math. 103 (1981), no. 2, 225 – 252. · Zbl 0473.14008 · doi:10.2307/2374215
[10] Nigel R. O’Brian, Domingo Toledo, and Yue Lin L. Tong, Hirzebruch-Riemann-Roch for coherent sheaves, Amer. J. Math. 103 (1981), no. 2, 253 – 271. · Zbl 0474.14009 · doi:10.2307/2374216
[11] Jean-Pierre Ramis and Gabriel Ruget, Résidus et dualité, Invent. Math. 26 (1974), 89 – 131 (French). · Zbl 0304.32007 · doi:10.1007/BF01435691
[12] Domingo Toledo and Yue Lin L. Tong, A parametrix for \overline\partial and Riemann-Roch in Čech theory, Topology 15 (1976), no. 4, 273 – 301. · Zbl 0355.58014 · doi:10.1016/0040-9383(76)90022-7
[13] Domingo Toledo and Yue Lin L. Tong, Duality and intersection theory in complex manifolds. I, Math. Ann. 237 (1978), no. 1, 41 – 77. · Zbl 0391.32008 · doi:10.1007/BF01351557
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