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Parabolic ample bundles III: Numerically effective vector bundles

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Abstract

In this continuation of [Bi2] and [BN], we define numerically effective vector bundles in the parabolic category. Some properties of the usual numerically effective vector bundles are shown to be valid in the more general context of numerically effective parabolic vector bundles.

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References

  1. Biswas I, Parabolic bundles as orbifold bundles,Duke Math. J. 88 (1997) 305–325

    Article  MATH  MathSciNet  Google Scholar 

  2. Biswas I, Parabolic ample bundles,Math. Ann. 307 (1997) 511–529

    Article  MATH  MathSciNet  Google Scholar 

  3. Biswas I, Chern classes for parabolic bundles,J. Math. Kyoto Univ. 37 (1997) 597–613

    MATH  MathSciNet  Google Scholar 

  4. Biswas I and Nagaraj D S, Parabolic ample bundles, II: Connectivity of zero locus of a class of sections,Topology 37 (1998) 781–789

    Article  MATH  MathSciNet  Google Scholar 

  5. Demailly J-P, Peternell T and Schneider M, Compact complex manifolds with numerically effective tangent bundles,J. Alg. Geom. 3 (1994) 295–345

    MATH  MathSciNet  Google Scholar 

  6. Hartshorne R, Ample vector bundles on curves,Nagoya Math. J. 43 (1971) 73–89

    MathSciNet  Google Scholar 

  7. Kobayashi S,Differential geometry of complex vector bundles (Publications of Math. Soc. of Japan, Iwanami Schoten Publications and Princeton University Press, 1987)

  8. Mehta V B and Ramanathan A, Semistable sheaves on projective varieties and their restrictions to curves,Math. Ann. 258 (1982) 213–224

    Article  MATH  MathSciNet  Google Scholar 

  9. Mehta V B and Seshadri C S, Moduli of vector bundles on curves with parabolic structure,Math. Ann. 248 (1980) 205–239

    Article  MATH  MathSciNet  Google Scholar 

  10. Simpson C T, Higgs bundles and local systems,Publ. Math. I.H.E.S. 75 (1992) 5–95

    MATH  MathSciNet  Google Scholar 

  11. Viehweg E, Quasi-projective Moduli of Polarized Manifolds,Ergeb. der Math. Grenzgeb. 3 Folgs, Bd. 30 (Springer-Verlag: Berlin, Heidelberg, 1995).

    Google Scholar 

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Correspondence to Indranil Biswas.

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Biswas, I., Subramanian, S. Parabolic ample bundles III: Numerically effective vector bundles. Proc. Indian Acad. Sci. (Math. Sci.) 109, 41–46 (1999). https://doi.org/10.1007/BF02837765

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  • DOI: https://doi.org/10.1007/BF02837765

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