Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: An explicit expression of the Luroth invariant   In this short note, we give an algorithm to get an explicit expression of the
Luroth invariant in terms of the Dixmier-Ohno invariants. We also get the
explicit factorized expression on the locus of Ciani quartics in terms of the
coefficients. Finally, we answer two open questions on sub-loci of singular
Luroth quartics.

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The categories of this paper are: quant-ph
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The categories of this paper are: atom-ph
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The categories of this paper are: mtrl-th
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The categories of this paper are: eess
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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: gr-qc
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The categories of this paper are: q-fin
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The categories of this paper are: acc-phys
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The categories of this paper are: cmp-lg
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The categories of this paper are: ao-sci
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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: funct-an
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The categories of this paper are: bayes-an
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The categories of this paper are: hep-th