Semiample and k-ample vector bundles
classification
🧮 math.AG
keywords
k-amplebundlessemiamplevectork-amplenessproductssommesetensor
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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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