Geodesic
Classification of ternary forms with zero Hessian
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 9 (2011), pp. 99-101 Cet article a éte moissonné depuis la source Math-Net.Ru

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In this paper we study the differential invariant algebra of the $\mathrm{GL}_3(\mathbb C)$-action on the space of ternary forms with zero Hessian and classify $\mathrm{GL}_3(\mathbb C)$-orbits of such forms.
Keywords: ternary forms, differential invariant, Hessian.
Mots-clés : group action, jet space 
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     author = {P. V. Bibikov},
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P. V. Bibikov. Classification of ternary forms with zero Hessian. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 9 (2011), pp. 99-101. http://geodesic.mathdoc.fr/item/IVM_2011_9_a10/

[1] Vinberg E. B., Popov V. L., “Teoriya invariantov”, Itogi nauki i tekhn. Ser. Sovremen. probl. matem. Fundam. napravleniya, 55, VINITI, M., 1989, 137–309 | MR | Zbl

[2] Bibikov P. V., Lychagin V. V., “$\mathrm GL_3(\mathbb C)$-orbity ratsionalnykh ternarnykh form”, Dokl. RAN, 438:4 (2011)

[3] Alekseevskii D. V., Vinogradov A. M., Lychagin V. V., “Osnovnye idei i ponyatiya differentsialnoi geometrii”, Itogi nauki i tekhn. Ser. Sovremen. probl. matem. Fundam. napravleniya, 28, VINITI, M., 1988, 5–289 | MR | Zbl

[4] Bibikov P. V., Lychagin V. V., “$\mathrm GL_2(\mathbb C)$-orbits of binary rational forms”, Lobachevskii J. Math., 32:1 (2011), 95–102 | DOI