NEWTON'S POLYHEDRA AND REDUCED SYSTEMS
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2025
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| _version_ | 1866901349405294592 |
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| author | Sh.M. Kurdashov, A.U. Habibova |
| author_facet | Sh.M. Kurdashov, A.U. Habibova |
| contents | <p><em><span lang="EN-US">This paper discusses a geometric-analytic method for investigating the structure of solution branches to systems of algebraic equations in a neighborhood of a singular point. The method is based on the Newton polyhedron and the construction of reduced systems. Historical developments, from Sintsov's graphical technique to Bruno’s power geometry framework, are reviewed. A novel method is proposed for calculating the leading terms and separation of branches using cones of reductions and Newton diagrams.</span></em></p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_15606924 |
| institution | Zenodo |
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| publishDate | 2025 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | NEWTON'S POLYHEDRA AND REDUCED SYSTEMS Sh.M. Kurdashov, A.U. Habibova <p><em><span lang="EN-US">This paper discusses a geometric-analytic method for investigating the structure of solution branches to systems of algebraic equations in a neighborhood of a singular point. The method is based on the Newton polyhedron and the construction of reduced systems. Historical developments, from Sintsov's graphical technique to Bruno’s power geometry framework, are reviewed. A novel method is proposed for calculating the leading terms and separation of branches using cones of reductions and Newton diagrams.</span></em></p> |
| title | NEWTON'S POLYHEDRA AND REDUCED SYSTEMS |
| url | https://doi.org/10.5281/zenodo.15606924 |