Bott-Chern currents and complex immersions
J.-M. Bismut, H. Gillet, and C. Soulé
Source: Duke Math. J. Volume 60, Number 1
(1990), 255-284.
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Permanent link to this document: http://projecteuclid.org/euclid.dmj/1077297147
Mathematical Reviews number (MathSciNet): MR1047123
Zentralblatt MATH identifier: 0697.58005
Digital Object Identifier: doi:10.1215/S0012-7094-90-06009-0
References
[BeV1] N. Berline and M. Vergne, Zéros d'un champ de vecteurs et classes caractéristiques équivariantes, Duke Math. J. 50 (1983), no. 2, 539–549.
Mathematical Reviews (MathSciNet): MR84i:58114
Zentralblatt MATH: 0515.58007
Digital Object Identifier: doi:10.1215/S0012-7094-83-05024-X
Project Euclid: euclid.dmj/1077303208
[B1] J.-M. Bismut, Localisation du caractère de Chern en géométrie complexe et superconnexions, C. R. Acad. Sci. Paris Sér. I Math. 307 (1988), no. 10, 523–526.
Mathematical Reviews (MathSciNet): MR90c:32039
Zentralblatt MATH: 0652.32020
[B2] J.-M. Bismut, Superconnection currents and complex immersions, to appear in Inventiones Math.
Mathematical Reviews (MathSciNet): MR1029391
Zentralblatt MATH: 0696.58006
Digital Object Identifier: doi:10.1007/BF01234412
[BGS1] J.-M. Bismut, H. Gillet, and C. Soule, Analytic torsion and holomorphic determinant bundles, I. Bott-Chern forms and analytic torsion, Comm. Math. Phys. 115 (1988), no. 1, 49–78.
Mathematical Reviews (MathSciNet): MR89g:58192a
Zentralblatt MATH: 0651.32017
Digital Object Identifier: doi:10.1007/BF01238853
Project Euclid: euclid.cmp/1104160849
[BSG2] J.-M. Bismut, H. Gillet, and C. Soule, Analytic torsion and holomorphic determinant bundles, II. Direct images and Bott-Chern forms, Comm. Math. Phys. 115 (1988), no. 1, 79–126.
Mathematical Reviews (MathSciNet): MR89g:58192b
Zentralblatt MATH: 0651.32017
Digital Object Identifier: doi:10.1007/BF01238854
Project Euclid: euclid.cmp/1104160850
[BGS3] J.-M. Bismut, H. Gillet, and C. Soule, Analytic torsion and holomorphic determinant bundles, III. Quillen metrics on holomorphic determinants, Comm. Math. Phys. 115 (1988), no. 2, 301–351.
Mathematical Reviews (MathSciNet): MR89g:58192c
Zentralblatt MATH: 0651.32017
Digital Object Identifier: doi:10.1007/BF01466774
Project Euclid: euclid.cmp/1104160917
[BGS4] J.-M. Bismut, H. Gillet, and C. Soule, Classes caractéristiques secondaires et immersions en géométrie complexe, C. R. Acad. Sci. Paris Sér. I Math. 307 (1988), no. 11, 565–567.
Mathematical Reviews (MathSciNet): MR90c:32040
Zentralblatt MATH: 0655.57012
[BGS5] J.-M. Bismut, H. Gillet, and C. Soule, Complex immersions and Arakelov geometry, to appear.
Mathematical Reviews (MathSciNet): MR1086887
Zentralblatt MATH: 0744.14015
[BoC] R. Bott and S. S. Chern, Hermitian vector bundles and the equidistribution of the zeroes of their holomorphic sections, Acta Math. 114 (1965), 71–112.
Mathematical Reviews (MathSciNet): MR32:3070
Zentralblatt MATH: 0148.31906
Digital Object Identifier: doi:10.1007/BF02391818
[D] S. Donaldson, Anti-self-dual Yang-Mills connections over complex algebraic surfaces and stable vector bundles, Proc. London Math. Soc. (3) 50 (1985), no. 1, 1–26.
Mathematical Reviews (MathSciNet): MR86h:58038
Zentralblatt MATH: 0529.53018
Digital Object Identifier: doi:10.1112/plms/s3-50.1.1
[E] S. Eilenberg, Homological dimension and syzygies, Ann. of Math. (2) 64 (1956), 328–336.
Mathematical Reviews (MathSciNet): MR18,558c
Zentralblatt MATH: 0073.26003
Digital Object Identifier: doi:10.2307/1969977
JSTOR: links.jstor.org
[GS] H. Gillet and C. Soulé, Characteristic classes for algebraic vectors bundles with Hermitian metrics, to appear in Annals of Math.
[H] L. Hormander, The analysis of linear partial differential operators. I, Grundlehren der Mathematischen Wissenschaften [Fundamental Principles of Mathematical Sciences], vol. 256, Springer-Verlag, Berlin, 1983.
Mathematical Reviews (MathSciNet): MR85g:35002a
Zentralblatt MATH: 0521.35001
[MQ] V. Mathai and D. Quillen, Superconnections, Thom classes and equivariant differential forms, Topology 25 (1986), no. 1, 85–110.
Mathematical Reviews (MathSciNet): MR87k:58006
Zentralblatt MATH: 0592.55015
Digital Object Identifier: doi:10.1016/0040-9383(86)90007-8
[Q1] D. Quillen, Superconnections and the Chern character, Topology 24 (1985), no. 1, 89–95.
Mathematical Reviews (MathSciNet): MR86m:58010
Zentralblatt MATH: 0569.58030
[Q2] D. Quillen, Determinants of Cauchy-Riemann operators over a Riemann surface, Funct. Anal. Appl. 14 (1985), 31–34.
Zentralblatt MATH: 0603.32016
[S] J.-P. Serre, Algèbre locale. Multiplicités, Lecture Notes in Math., vol. 11, Springer, Berlin-Heidelberg-New York, 1965.
Mathematical Reviews (MathSciNet): MR34:1352
Zentralblatt MATH: 0142.28603
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