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Holomorphic sections of line bundles over (H,C)-groups

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Abstract

Using an analogue of the refined Chern class, we study holomorphic sections of line bundles over an (H,C)-group. As an application we get that every meromorphically separable (H,C)-group is quasi-abelian.

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References

  1. BOTT, R., CHERN, S.S.: Hermitian vector bundles and the equidistribution of the zeros of their holomorphic sections. Acta Math.114, 71–112 (1965)

    Google Scholar 

  2. GHERARDELLI, F., ANDREOTTI, A.: Some remarks on quasiabelian manifolds. Global analysis and its applications vol.II, 203–206, Intern. Atomic Energy Agency, Vienna 1974

    Google Scholar 

  3. KAZAMA, H., UMENO, T.: On a certain holomorphic line bundle over a compact non-Kähler complex manifold. Math. Rep. of College of General Education, Kyushu Univ.12, 93–102 (1980)

    Google Scholar 

  4. KOPFERMANN, K.: Maximale Untergruppen abelscher komplexer Liescher Gruppen. Schr. Math. Inst. Univ. Münster29 (1964)

  5. MORIMOTO, A.: Non-compact complex Lie groups without non-constant holomorphic functions. Proc. Conf. on Complex Analysis at Univ. of Minn.: Springer-Verlag 1965

  6. SHIFFMAN, B.: Extension of positive line bundles and meromorphic maps. Invent. Math.15, 332–347 (1972)

    Google Scholar 

  7. VOGT, Ch.: Two remarks concerning toroidal groups. Manuscripta Math.41, 217–232 (1983)

    Google Scholar 

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Abe, Y. Holomorphic sections of line bundles over (H,C)-groups. Manuscripta Math 60, 379–385 (1988). https://doi.org/10.1007/BF01169345

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  • DOI: https://doi.org/10.1007/BF01169345

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