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 discriminants of polynomials of smaller degree. © Siberian Federal University. All rights reserved.
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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