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Semiample and k-ample vector bundles

Published 25 Jul 2016 in math.AG | (1607.07193v1)

Abstract: We show that tensor products of semiample vector bundles are semiample. For k-ampleness in the sens of Sommese, we show that over compact complex manifolds tensor products of semiample and k-ample vector bundles are k-ample, and the sum of k-ample vector bundles is k-ample. In particular results of Sommese on k-ampleness are strenghtened.

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Authors (2)

  1. F. Laytimi 
  2. W. Nahm 

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