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A class of symmetric functions and Chern classes of projective varieties

Part of the Lecture Notes in Mathematics book series (2803,volume 1369)

Keywords

  • Line Bundle
  • Symmetric Function
  • Complete Intersection
  • Projective Variety
  • Chern Class

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References

  1. M.F. Atiyah, Complex analytic connections in fibre bundles, Trans. Amer. Math. Soc. 85 (1957), 181–207.

    CrossRef  MathSciNet  MATH  Google Scholar 

  2. A. Borel, Les functions automorphes de plusieur variables complexes, Bull. Soc. Math. France 80 (1952), 167–182.

    MathSciNet  MATH  Google Scholar 

  3. P.A. Griffiths and J. Harris, “Principles of Algebraic Geometry,” John Wiley, 1978.

    Google Scholar 

  4. S. Helgason, “Differential Geometry and Symmetric Spaces,” Academic Press, 1962.

    Google Scholar 

  5. F. Hirzebruch, Der Satz von Riemann-Roch in Faisceau-Theoretischer Formulierung, einige Anwendungen und offene Fragen, Proc. of the Int. Congress of Math. Amsterdam (1954), 457–473.

    Google Scholar 

  6. F. Hirzebruch, Automorphe Formen und der Satz von Riemann-Roch, Symp. Int. de Topologica Algebraica, Mexico (1958), 129–144.

    Google Scholar 

  7. F. Hirzebruch, “Topological Methods in Algebraic Geometry,” Springer, 1966.

    Google Scholar 

  8. Y. Miyaoka, On the Chern numbers of surfaces of general type, Invent. Math. 42 (1977), 225–237.

    CrossRef  MathSciNet  MATH  Google Scholar 

  9. A. Van de Ven, On the Chern numbers of surfaces of general type, Invent. Math. 36 (1976), 385–393.

    MathSciNet  Google Scholar 

  10. B.L. van der Waerden, “Modern Algebra,” Vol. 1, Frederick Ungar, 1949.

    Google Scholar 

  11. W.-T. Wu, On Chern numbers of algebraic varieties with arbitrary singularities, to appear in Acta Mathematica Sinica.

    Google Scholar 

  12. S.-T. Yau, On Calabi's conjecture and some new results in algebraic geometry, Proc. Nat. Acad. Sci. USA 74 (1977), 1798–1799.

    CrossRef  MATH  Google Scholar 

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© 1989 Springer-Verlag

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Tai, Hs. (1989). A class of symmetric functions and Chern classes of projective varieties. In: Jiang, B., Peng, CK., Hou, Z. (eds) Differential Geometry and Topology. Lecture Notes in Mathematics, vol 1369. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0087539

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  • DOI: https://doi.org/10.1007/BFb0087539

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-51037-6

  • Online ISBN: 978-3-540-46137-1

  • eBook Packages: Springer Book Archive