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.
Saved in:
Main Authors: | , , , |
---|---|
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/ |
Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
_version_ | 1825206241586053120 |
---|---|
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 |
id | doaj-art-7fb7d34fe9f7458fab82e7ff545b0f51 |
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/ |
work_keys_str_mv | AT nguyenduckhanh newtonpolytopeofgoodsymmetricpolynomials AT nguyenthingocgiao newtonpolytopeofgoodsymmetricpolynomials AT dangtuanhiep newtonpolytopeofgoodsymmetricpolynomials AT dolehaithuy newtonpolytopeofgoodsymmetricpolynomials |