Joint differential invariants of binary and ternary forms

Gülden Gün Polat, Peter J. Olver

Research output: Contribution to journalArticlepeer-review

5 Scopus citations


We use moving frames to construct and classify the joint invariants and joint differential invariants of binary and ternary forms. In particular, we prove that the differential invariant algebra of ternary forms is generated by a single third order differential invariant. To connect our results with earlier analysis of Kogan, we develop a general method for relating differential invariants associated with different choices of cross-section.

Original languageEnglish (US)
Pages (from-to)169-204
Number of pages36
JournalPortugaliae Mathematica
Issue number2
StatePublished - 2019

Bibliographical note

Publisher Copyright:
© 2019 European Mathematical Society.


  • Binary form
  • Classical invariant theory
  • Differential invariant
  • Joint differential invariant
  • Joint invariant
  • Moving frame
  • Syzygy
  • Ternary form


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