The Newton polytope of the Morse discriminant of a univariate polynomial

被引：0
|
作者：
Voorhaar, Arina [1 ,2 ]
机构：
[1] Natl Res Univ Higher Sch Econ, Moscow, Russia
[2] Univ Geneva, Geneva, Switzerland
来源：
ADVANCES IN MATHEMATICS | 2023年 / 432卷
关键词：
Newton polytopes; Elimination theory; Tropical geometry; Singularities;
D O I：
10.1016/j.aim.2023.109275
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper we compute the Newton polytope MA of the Morse discriminant in the space of univariate polynomials with a given support set A. Namely, we establish a surjection between the set of all combinatorial types of Morse univariate tropical polynomials and the vertices of MA.(c) 2023 The Author(s). Published by Elsevier Inc. This is an open access article under the CC BY license (http:// creativecommons .org /licenses /by /4 .0/).
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页数：35
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