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Remarks on Ramanujam-Kawamata-Viehweg Vanishing Theorem

Author

Listed:
  • F. Laytimi

    (Université Lille 1)

  • D. S. Nagaraj

    (Institute of Mathematical Sciences (H.B.N.I.), C.I.T. campus)

Abstract

In this article we prove a general result on a nef vector bundle E on a projective manifold X of dimension n depending on the vector space Hn,n(X,E): It is also shown that Hn,n(X,E) = 0 for an indecomposable nef rank 2 vector bundles E on some specific type of n dimensional projective manifold X. The same vanishing shown to hold for indecomposable nef and big rank 2 vector bundles on any variety with trivial canonical bundle.

Suggested Citation

  • F. Laytimi & D. S. Nagaraj, 2018. "Remarks on Ramanujam-Kawamata-Viehweg Vanishing Theorem," Indian Journal of Pure and Applied Mathematics, Springer, vol. 49(2), pages 257-263, June.
    • Handle: RePEc:spr:indpam:v:49:y:2018:i:2:d:10.1007_s13226-018-0267-6
    DOI: 10.1007/s13226-018-0267-6
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