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Direct images of Hermitian holomorphic bundles
Author(s):
H.
Gillet;
C.
Soulé
Journal:
Bull. Amer. Math. Soc.
15
(1986),
209-212.
MSC (1985):
Primary 58G10
MathSciNet review:
854556
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References:
- 1.
- J.-M. Bismut and D. Freed, The analysis of elliptic families, preprint (1985), Orsay; Fibré déterminant et invariant êta, C. R. Acad. Sci. Paris Sér. I 301 (1985), 707-710. MR 818550
- 2.
- R. Bott and S. S. Chern, Hermitian vector bundles and the equidistribution of the zeroes of their holomorphic cross sections, Acta Math. 114 (1968), 71-112. MR 185607
- 3.
- H. Gillet and C. Soulé, Classes caractéristiques en théorie d'Arakelov, C. R. Acad. Sci. Paris Sér. I 301 (1985), 439-442. MR 809851
- 4.
- F. Knudsen and D. Mumford, The projectivity of the moduli space of stable curves. I, Math. Scand. 39 (1976), 19-55. MR 437541
- 5.
- D. Quillen, Super connections and the Chern character, Topology 24 (1985), 89-95. MR 790678
- 6.
- D. Quillen, Determinants of Cauchy-Riemann operators over a Riemann surface, Functional Analysis 19 (1985), 3134. MR 783704
- 7.
- J.-M. Bismut, The Atiyah-Singer index theorem for families of Dirac operators: two heat equation proofs, Invent. Math. 83 (1986), 91-152. MR 813584
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Additional Information:
DOI:
10.1090/S0273-0979-1986-15476-5
PII:
S 0273-0979(1986)15476-5
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