On the structure of the classical discriminant

Описание

Тип публикации: статья из журнала

Год издания: 2015

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

Ключевые слова: Discriminant, General algebraic equation, Newton polytope

Аннотация: 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 discriminaПоказать полностьюnts of polynomials of smaller degree. © Siberian Federal University. All rights reserved.

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Издание

Журнал: Journal of Siberian Federal University - Mathematics and Physics

Выпуск журнала: Vol. 8, Is. 4

Номера страниц: 426-436

Персоны

  • Mikhalkin E.N. (Institute of Mathematics and Computer Science, Siberian Federal University, Svobodny, 79, Krasnoyarsk, Russian Federation)
  • Tsikhy A.K. (Institute of Mathematics and Computer Science, Siberian Federal University, Svobodny, 79, Krasnoyarsk, Russian Federation)

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