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arXiv · 1703.10568

On degenerate sections of vector bundles

Dennis Tseng
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Abstract

We consider the locus of sections of a vector bundle on a projective scheme that vanish in higher dimension than expected. We show that after applying a high enough twist, any maximal component of this locus consists entirely of sections vanishing along a subscheme of minimal degree. In fact, we will give a more refined description of this locus, which will allow us to deduce its limit in the Grothendieck ring of varieties.

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Dennis Tseng. 2017-03-30. On degenerate sections of vector bundles. https://arxiv.org/abs/1703.10568

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