Puiseux Expansions and Nonisolated Points in Algebraic Varieties
We consider the problem of deciding whether a common solution to a multivariate polynomial equation system is isolated or not. We present conditions on a given truncated Puiseux series vector centered at the point ensuring that it is not isolated. In addition, in the case that the set of all common...
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| Acceso en línea: | http://hdl.handle.net/20.500.12110/paper_00927872_v44_n5_p2100_Herrero |
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todo:paper_00927872_v44_n5_p2100_Herrero2023-10-03T14:55:16Z Puiseux Expansions and Nonisolated Points in Algebraic Varieties Herrero, M.I. Jeronimo, G. Sabia, J. Algebraic varieties Curves Isolated points Puiseux series We consider the problem of deciding whether a common solution to a multivariate polynomial equation system is isolated or not. We present conditions on a given truncated Puiseux series vector centered at the point ensuring that it is not isolated. In addition, in the case that the set of all common solutions of the system has dimension 1, we obtain further conditions specifying to what extent the given vector of truncated Puiseux series coincides with the initial part of a parametrization of a curve of solutions passing through the point. © 2016, Copyright © Taylor & Francis Group, LLC. Fil:Herrero, M.I. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. Fil:Jeronimo, G. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. Fil:Sabia, J. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_00927872_v44_n5_p2100_Herrero |
| institution |
Universidad de Buenos Aires |
| institution_str |
I-28 |
| repository_str |
R-134 |
| collection |
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) |
| topic |
Algebraic varieties Curves Isolated points Puiseux series |
| spellingShingle |
Algebraic varieties Curves Isolated points Puiseux series Herrero, M.I. Jeronimo, G. Sabia, J. Puiseux Expansions and Nonisolated Points in Algebraic Varieties |
| topic_facet |
Algebraic varieties Curves Isolated points Puiseux series |
| description |
We consider the problem of deciding whether a common solution to a multivariate polynomial equation system is isolated or not. We present conditions on a given truncated Puiseux series vector centered at the point ensuring that it is not isolated. In addition, in the case that the set of all common solutions of the system has dimension 1, we obtain further conditions specifying to what extent the given vector of truncated Puiseux series coincides with the initial part of a parametrization of a curve of solutions passing through the point. © 2016, Copyright © Taylor & Francis Group, LLC. |
| format |
JOUR |
| author |
Herrero, M.I. Jeronimo, G. Sabia, J. |
| author_facet |
Herrero, M.I. Jeronimo, G. Sabia, J. |
| author_sort |
Herrero, M.I. |
| title |
Puiseux Expansions and Nonisolated Points in Algebraic Varieties |
| title_short |
Puiseux Expansions and Nonisolated Points in Algebraic Varieties |
| title_full |
Puiseux Expansions and Nonisolated Points in Algebraic Varieties |
| title_fullStr |
Puiseux Expansions and Nonisolated Points in Algebraic Varieties |
| title_full_unstemmed |
Puiseux Expansions and Nonisolated Points in Algebraic Varieties |
| title_sort |
puiseux expansions and nonisolated points in algebraic varieties |
| url |
http://hdl.handle.net/20.500.12110/paper_00927872_v44_n5_p2100_Herrero |
| work_keys_str_mv |
AT herreromi puiseuxexpansionsandnonisolatedpointsinalgebraicvarieties AT jeronimog puiseuxexpansionsandnonisolatedpointsinalgebraicvarieties AT sabiaj puiseuxexpansionsandnonisolatedpointsinalgebraicvarieties |
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1782030838513270784 |