Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Waring ranks of sextic binary forms via geometric invariant theory   We determine the Waring ranks of all sextic binary forms using a Geometric
Invariant Theory approach. Using the five basic invariants for sextic binary
forms, our results give a rapid method to determine the Waring rank of any
given sextic binary form. In particular, we shed new light on a claim by E. B.
Elliott at the end of the 19th century concerning the binary sextics with
Waring rank 3.

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The categories of this paper are: stat
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The categories of this paper are: supr-con
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The categories of this paper are: hep-ph
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The categories of this paper are: mtrl-th
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The categories of this paper are: econ
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The categories of this paper are: cond-mat
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The categories of this paper are: nucl-ex
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The categories of this paper are: solv-int
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The categories of this paper are: hep-ex
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The categories of this paper are: q-bio
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The categories of this paper are: eess
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The categories of this paper are: physics
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The categories of this paper are: nucl-th
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The categories of this paper are: chem-ph
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The categories of this paper are: quant-ph
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The categories of this paper are: chao-dyn