Vector fields and Chern numbers. (English) Zbl 0365.32020


32L10 Sheaves and cohomology of sections of holomorphic vector bundles, general results
14F05 Sheaves, derived categories of sheaves, etc. (MSC2010)
14M15 Grassmannians, Schubert varieties, flag manifolds
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[1] Atiyah, M. F.: Complex analytic connections in fibre bundles. Trans. Amer. Math. Soc.85, 181-207 (1957) · Zbl 0078.16002
[2] Atiyah, M. F., Singer, I.: The index of elliptic operators. III. Ann. Math.87, 546-604 (1968) · Zbl 0164.24301
[3] Bott, R.: Vector fields and characteristic numbers. Mich. Math. J.14, 231-244 (1967) · Zbl 0145.43801
[4] Bott, R.: On a topological obstruction to integrability. Proc. Sympos. Pure Math.XVI, AMS, 127-132 (1970) · Zbl 0206.50501
[5] Baum, P., Bott, R.: On the zeros of meromorphic vector fields. Essays on Topology and related topics (Memoires dedies a Georges de Rham), pp. 29-47. Berlin, Heidelberg, New York: Springer 1970
[6] Baum, P., Bott, R.: Singularities of Holomorphic foliations. J. Diff. Geom.7, 279-342 (1972) · Zbl 0268.57011
[7] Carrell, J., Lieberman, D.: Holomorphic vector fields and Kaehler manifolds. Inventiones Math.21, 303-309 · Zbl 0253.32017
[8] Hartshorne, R.: Residues and duality. Lecture notes in mathematics. No. 20. Berlin, Heidelberg, New York: Springer 1966 · Zbl 0212.26101
[9] Verdier, J. L.: Base change for twisted inverse image of coherent sheaves. Algebraic geometry (Internat. Colloq., Tata Inst. Fund. Res., Bombay, 1968), pp. 393-408. London: Oxford University Press 1969
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