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A proof of Hilbert's theorem on ternary quartic forms with the ladder technique

Symbolic Computation 2017-03-22 v2 Algebraic Geometry

Abstract

This paper proposes a totally constructive approach for the proof of Hilbert's theorem on ternary quartic forms. The main contribution is the ladder technique, with which the Hilbert's theorem is proved vividly.

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Cite

@article{arxiv.1701.08294,
  title  = {A proof of Hilbert's theorem on ternary quartic forms with the ladder technique},
  author = {Jia Xu and Yong Yao},
  journal= {arXiv preprint arXiv:1701.08294},
  year   = {2017}
}

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9 pages