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Vector fields and Chern numbers. (English) Zbl 0365.32020


MSC:

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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References:

[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
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[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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