Israel Journal of Mathematics

, Volume 76, Issue 1–2, pp 229–235 | Cite as

A corollary to Kodaira-Spencer’s theorem on continuity of eigenvalues

  • S. Srinivas Rau


We give an elementary proof of continuity of the determinant in the parameter for a smooth family of laplacians (of the same nullity) on a smooth family of holomorphic vector bundles over a compact complex manifold. Families of unitary flat bundles over a compact Riemann surface are discussed, as an example.


Vector Bundle Zeta Function Complex Manifold Compact Riemann Surface Holomorphic Vector Bundle 
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Copyright information

© Hebrew University 1991

Authors and Affiliations

  • S. Srinivas Rau
    • 1
  1. 1.Stat-Math UnitIndian Statistical InstituteBangaloreIndia

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