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Bracket Polynomial Expression of Discriminant-Resultants as SL2-invariant

Commutative Algebra 2022-11-30 v1 Algebraic Geometry Dynamical Systems

Abstract

We give a bracket polynomial expression for intermediate terms between discriminant and resultant for pair of binary forms. As an application of the bracket polynomial expression, we give an algebraic proof of the algebraic independence of intermediate terms, which was shown in the theory of dynamical systems.

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Cite

@article{arxiv.2211.15862,
  title  = {Bracket Polynomial Expression of Discriminant-Resultants as SL2-invariant},
  author = {Rin Gotou},
  journal= {arXiv preprint arXiv:2211.15862},
  year   = {2022}
}

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14 pages