Anti-ample bundle, nef vector bundle, big vector bundle
Indranil Biswas, Fatima Laytimi, D. S. Nagaraj, Werner Nahm

TL;DR
This paper proves that the direct image of an anti-ample vector bundle remains anti-ample under finite flat morphisms and explores properties of big and nef vector bundles, including tensor product behavior.
Contribution
It establishes the anti-ampleness preservation under finite flat morphisms and generalizes known results about nef and big vector bundles.
Findings
Direct image of anti-ample bundle is anti-ample under finite flat morphisms
Tensor product of nef and big bundles is nef and big
Generalizes Schneider's result on nef and big bundles
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.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsHomotopy and Cohomology in Algebraic Topology
