ON FACETS OF THE NEWTON POLYTOPE FOR THE DISCRIMINANT OF THE POLYNOMIAL SYSTEM

被引：2

作者：

Antipova, I. A. ^{[1
]}

Kleshkova, E. A. ^{[1
]}

机构：

[1] Siberian Fed Univ, 79 Svobodny Ave, Krasnoyarsk 660041, Russia

来源：

SIBERIAN ELECTRONIC MATHEMATICAL REPORTS-SIBIRSKIE ELEKTRONNYE MATEMATICHESKIE IZVESTIYA | 2021年 / 18卷 / 02期

关键词：

discriminant; Newton polytope; tropical variety; Bergman fan; matroid; GEOMETRY; SET;

D O I：

10.33048/semi.2021.18.089

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study normal directions to facets of the Newton polytope of the discriminant of the Laurent polynomial system via the tropical approach.We use the combinatorial construction proposed by Dickenstein, Feichtner and Sturmfels for the tropicalization of algebraic varieties admitting a parametrization by a linear map followed by a monomial map.

引用

页码：1180 / 1188

页数：9

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