Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Stable Ulrich Bundles on Fano Threefolds with Picard Number 2   In this paper, we consider the existence problem of rank one and two stable
Ulrich bundles on imprimitive Fano 3-folds obtained by blowing-up one of
$\mathbb{P}^{3}$, $Q$ (smooth quadric in $\mathbb{P}^{4}$), $V_{3}$ (smooth
cubic in $\mathbb{P}^{4}$) or $V_{4}$ (complete intersection of two quadrics in
$\mathbb{P}^{5}$) along a smooth irreducible curve. We prove that the only
class which admits Ulrich line bundles is the one obtained by blowing up a
genus 3, degree 6 curve in $\mathbb{P}^{3}$. Also, we prove that there exist
stable rank two Ulrich bundles with $c_{1}=3H$ on a generic member of this
deformation class.

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The categories of this paper are: astro-ph
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The categories of this paper are: bayes-an
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The categories of this paper are: stat
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The categories of this paper are: cmp-lg
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The categories of this paper are: q-alg
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The categories of this paper are: q-fin
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The categories of this paper are: ao-sci
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The categories of this paper are: nucl-ex
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The categories of this paper are: dg-ga
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The categories of this paper are: eess
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The categories of this paper are: q-bio
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The categories of this paper are: patt-sol
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The categories of this paper are: chem-ph
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The categories of this paper are: funct-an
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The categories of this paper are: comp-gas
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The categories of this paper are: acc-phys