Newton polytope of good symmetric polynomials

We introduce a general class of symmetric polynomials that have saturated Newton polytope and their Newton polytope has integer decomposition property. The class covers numerous previously studied symmetric polynomials.

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Main Authors: Nguyen, Duc-Khanh, Nguyen Thi Ngoc, Giao, Dang Tuan, Hiep, Do Le Hai, Thuy
Format: Article
Language:English
Published: Académie des sciences 2023-05-01
Series:Comptes Rendus. Mathématique
Online Access:https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.430/
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author Nguyen, Duc-Khanh
Nguyen Thi Ngoc, Giao
Dang Tuan, Hiep
Do Le Hai, Thuy
author_facet Nguyen, Duc-Khanh
Nguyen Thi Ngoc, Giao
Dang Tuan, Hiep
Do Le Hai, Thuy
author_sort Nguyen, Duc-Khanh
collection DOAJ
description We introduce a general class of symmetric polynomials that have saturated Newton polytope and their Newton polytope has integer decomposition property. The class covers numerous previously studied symmetric polynomials.
format Article
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institution Kabale University
issn 1778-3569
language English
publishDate 2023-05-01
publisher Académie des sciences
record_format Article
series Comptes Rendus. Mathématique
spelling doaj-art-7fb7d34fe9f7458fab82e7ff545b0f512025-02-07T11:07:37ZengAcadémie des sciencesComptes Rendus. Mathématique1778-35692023-05-01361G476777510.5802/crmath.43010.5802/crmath.430Newton polytope of good symmetric polynomialsNguyen, Duc-Khanh0Nguyen Thi Ngoc, Giao1Dang Tuan, Hiep2Do Le Hai, Thuy3Department of Mathematics and Statistics, University at Albany, Albany, NY 12222, USAFaculty of Advanced Science and Technology, University of Science and Technology - The University of Da Nang, 54 Nguyen Luong Bang, Da Nang, VietnamDepartment of Mathematics, Dalat University, 1 Phu Dong Thien Vuong, Ward 8, Dalat City, Lam Dong, VietnamInstitute of Mathematics, Vietnam academy of science and technology, 18 Hoang Quoc Viet, Cau Giay, Hanoi, VietnamWe introduce a general class of symmetric polynomials that have saturated Newton polytope and their Newton polytope has integer decomposition property. The class covers numerous previously studied symmetric polynomials.https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.430/
spellingShingle Nguyen, Duc-Khanh
Nguyen Thi Ngoc, Giao
Dang Tuan, Hiep
Do Le Hai, Thuy
Newton polytope of good symmetric polynomials
Comptes Rendus. Mathématique
title Newton polytope of good symmetric polynomials
title_full Newton polytope of good symmetric polynomials
title_fullStr Newton polytope of good symmetric polynomials
title_full_unstemmed Newton polytope of good symmetric polynomials
title_short Newton polytope of good symmetric polynomials
title_sort newton polytope of good symmetric polynomials
url https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.430/
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