Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Categorical Torelli theorems for Gushel--Mukai threefolds   We show that a general ordinary Gushel-Mukai(GM) threefold $X$ is
reconstructed from the Kuznetsov component $\mathcal{K}u(X)$ together with an
extra data coming from tautological sub-bundle of Grassmannian
$\mathrm{Gr}(2,5)$. We also prove that $\mathcal{K}u(X)$ determines birational
isomorphism class of $X$, while $\mathcal{K}u(X')$ determines isomorphism class
of a general special GM threefold $X'$. As an application, we prove a
conjecture of Kuznetsov-Perry in dimension three under a mild assumption.
Finally, we use $\mathcal{K}u(X)$ to restate a conjecture of
Debarre--Iliev--Manivel regarding fibers of the period map for ordinary GM
threefolds

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The categories of this paper are: bayes-an
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The categories of this paper are: cmp-lg
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The categories of this paper are: chem-ph
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The categories of this paper are: econ
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The categories of this paper are: eess
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The categories of this paper are: solv-int
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The categories of this paper are: mtrl-th
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The categories of this paper are: astro-ph
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The categories of this paper are: q-alg
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The categories of this paper are: nlin
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The categories of this paper are: hep-lat
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The categories of this paper are: alg-geom
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The categories of this paper are: comp-gas
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The categories of this paper are: cs
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The categories of this paper are: gr-qc
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The categories of this paper are: ao-sci