Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Ulrich bundles on the degree six Segre fourfold   We study the resolution of an Ulrich bundle of arbitrary rank on the Segre
fourfold $\PP^2\times\PP^2$. We characterize the Ulrich bundles $\Vv$ of
arbitrary rank on $\PP^2\times\PP^2$ with
$h^1(\Vv\otimes\Omega\boxtimes\Omega)=0$ or with
$h^1(\Vv\otimes\Omega(-1)\boxtimes\Omega(-1))=0$ or obtained as pullback from
$\PP^2$ and we construct more complicated examples.

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The categories of this paper are: comp-gas
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The categories of this paper are: dg-ga
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The categories of this paper are: chao-dyn
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The categories of this paper are: cmp-lg
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The categories of this paper are: quant-ph
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The categories of this paper are: cs
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The categories of this paper are: patt-sol
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The categories of this paper are: nlin
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The categories of this paper are: eess
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The categories of this paper are: q-alg
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The categories of this paper are: cond-mat
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The categories of this paper are: alg-geom
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The categories of this paper are: plasm-ph
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The categories of this paper are: hep-th
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The categories of this paper are: gr-qc
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The categories of this paper are: q-fin