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arXiv · 2407.01151

Anti-ample bundle, nef vector bundle, big vector bundle

Indranil Biswas·Fatima Laytimi·D. S. Nagaraj·Werner Nahm
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Abstract

We prove that the direct image of an anti-ample vector bundle is anti-ample under any finite flat morphism of non-singular projective varieties. In the second part we prove some properties of big and nef vector bundles. In particular it is shown that the tensor product of a nef vector bundle with a nef and big vector bundle is again nef and big. This generalizes a result of Schneider.

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Indranil Biswas, Fatima Laytimi, D. S. Nagaraj, Werner Nahm. 2024-07-01. Anti-ample bundle, nef vector bundle, big vector bundle. https://arxiv.org/abs/2407.01151

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