This article is cited in 1 paper

On the structure of the classical discriminant

Evgeny N. Mikhalkin, Avgust K. Tsikh

Institute of Mathematics and Computer Science, Siberian Federal University, Svobodny, 79, Krasnoyarsk, 660041, Russia

Abstract: 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, discriminant, Newton polytope.

UDC: 517.55

Received: 18.09.2015
Received in revised form: 18.10.2015
Accepted: 25.10.2015

Language: English

DOI: 10.17516/1997-1397-2015-8-4-426-436