Joint differential invariants of binary and ternary forms

Polat G. G., Olver P. J.

PORTUGALIAE MATHEMATICA, cilt.76, sa.2, ss.169-204, 2019 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 76 Sayı: 2
  • Basım Tarihi: 2019
  • Doi Numarası: 10.4171/pm/2032
  • Dergi Adı: PORTUGALIAE MATHEMATICA
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.169-204
  • İstanbul Kültür Üniversitesi Adresli: Evet

Özet

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.