Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Some quasihomogeneous Legendrian varieties   We construct a family of examples of Legendrian subvarieties in some
projective spaces. Although most of them are singular, a new example of smooth
Legendrian variety in dimension 8 is in this family. The 8-fold has interesting
properties: it is a compactification of the special linear group, a Fano
manifold of index 5 and Picard number 1.

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The categories of this paper are: mtrl-th
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The categories of this paper are: plasm-ph
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The categories of this paper are: atom-ph
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The categories of this paper are: gr-qc
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The categories of this paper are: solv-int
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The categories of this paper are: supr-con
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The categories of this paper are: hep-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-fin
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The categories of this paper are: econ
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The categories of this paper are: comp-gas
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The categories of this paper are: adap-org
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The categories of this paper are: alg-geom
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The categories of this paper are: q-alg
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The categories of this paper are: ao-sci