Binary forms with the same value set III. The case of D3 and D6


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2024-04-29

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Working Paper

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Abstract

Let F, G ∈ Z[X, Y ] be binary forms of degree ≥ 3 with automorphism groups isomor phic to the dihedral group of cardinality 6 or 12. We characterize exactly when F and G have the same value set, that is when F and G satisfy F(Z 2 ) = G(Z 2 ).

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published

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2404.18725v1

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Cornell University

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v1

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02889 - ETH Institut für Theoretische Studien / ETH Institute for Theoretical Studies

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