Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Siegel modular forms of degree three and invariants of ternary quartics   We determine the structure of the graded ring of Siegel modular forms of
degree 3. It is generated by 19 modular forms, among which we identify a
homogeneous system of parameters with 7 forms of weights 4, 12, 12, 14, 18, 20
and 30. We also give a complete dictionary between the Dixmier-Ohno invariants
of ternary quartics and the above generators.

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The categories of this paper are: stat
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The categories of this paper are: ao-sci
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The categories of this paper are: nucl-th
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The categories of this paper are: comp-gas
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The categories of this paper are: q-alg
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The categories of this paper are: atom-ph
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The categories of this paper are: hep-lat
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The categories of this paper are: nlin
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The categories of this paper are: supr-con
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The categories of this paper are: patt-sol
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The categories of this paper are: bayes-an
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The categories of this paper are: cond-mat
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The categories of this paper are: q-bio
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The categories of this paper are: dg-ga
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The categories of this paper are: q-fin
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The categories of this paper are: econ