Geodesic
On the structure of the classical discriminant
Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 8 (2015) no. 4, pp. 426-436

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Consider a general polynomial of degree $n$ with variable coefficients. It is known that the Newton polytope of its discriminant is combinatorially equivalent to an $(n-1)$-dimensional cube. We show that two facets of this Newton polytope are prisms, and that truncations of the discriminant with respect to facets factor into discriminants of polynomials of smaller degree.
Keywords: general algebraic equation, Newton polytope.
Mots-clés : discriminant 
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Evgeny N. Mikhalkin; Avgust K. Tsikh. On the structure of the classical discriminant. Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 8 (2015) no. 4, pp. 426-436. http://geodesic.mathdoc.fr/item/JSFU_2015_8_4_a5/