Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Verlinde bundles of families of hypersurfaces and their jumping lines   Verlinde bundles are vector bundles $V_k$ arising as the direct image
$\pi_*(\mathcal L^{\otimes k})$ of polarizations of a proper family of schemes
$\pi\colon \mathfrak X \to S$. We study the splitting behavior of Verlinde
bundles in the case where $\pi$ is the universal family $\mathfrak X \to
|\mathcal O(d)|$ of hypersurfaces of degree $d$ in $\mathbb P^n$ and calculate
the cohomology class of the locus of jumping lines of the Verlinde bundles
$V_{d+1}$ in the cases $n=2,3$.

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The categories of this paper are: eess
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The categories of this paper are: q-fin
34
The categories of this paper are: chem-ph
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The categories of this paper are: plasm-ph
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The categories of this paper are: nucl-th
4
The categories of this paper are: cond-mat
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The categories of this paper are: solv-int
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The categories of this paper are: econ
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The categories of this paper are: hep-lat
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The categories of this paper are: chao-dyn
0
The categories of this paper are: hep-ph
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The categories of this paper are: math-ph
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The categories of this paper are: stat
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The categories of this paper are: quant-ph
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The categories of this paper are: acc-phys
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The categories of this paper are: hep-th