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What is Positivity in Toric Vector Bundles about?

The paper discusses the positivity properties of toric vector bundles on complete toric varieties, demonstrating that a torus-equivariant vector bundle is nef or ample if and only if its restriction to every invariant curve is also nef or ample. It further establishes that nef toric vector bundles have nonvanishing global sections at every point, and that a vector bundle is trivial if and only if its restriction to every invariant curve is trivial. The authors apply their findings to specific vector bundles

Author

Mateo Hidalgo

Language

EN