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arXiv · 2303.13201

Positivity and base loci for vector bundles revisited

Mihai Fulger·Nabanita Ray
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Abstract

We give equivalent descriptions for the augmented and diminished base loci of vector bundles in characteristic zero. We show that these base loci behave well under pullback, tensor product, and direct sum. Pathological behavior is observed on some nonsplit exact sequences.

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Mihai Fulger, Nabanita Ray. 2023-03-23. Positivity and base loci for vector bundles revisited. https://arxiv.org/abs/2303.13201

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