Artículo
Botbol, N.; Busé, L.; Chardin, M.; Hassanzadeh, S.H.; Simis, A.; Tran, Q.H. "Effective criteria for bigraded birational maps" (2017) Journal of Symbolic Computation. 81:69-87
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Abstract:
In this paper, we consider rational maps whose source is a product of two subvarieties, each one being embedded in a projective space. Our main objective is to investigate birationality criteria for such maps. First, a general criterion is given in terms of the rank of a couple of matrices that became to be known as Jacobian dual matrices. Then, we focus on rational maps from P1×P1 to P2 in very low bidegrees and provide new matrix-based birationality criteria by analyzing the syzygies of the defining equations of the map, in particular by looking at the dimension of certain bigraded parts of the syzygy module. Finally, applications of our results to the context of geometric modeling are discussed at the end of the paper. © 2016 Elsevier Ltd
Registro:
| Documento: | Artículo |
| Título: | Effective criteria for bigraded birational maps |
| Autor: | Botbol, N.; Busé, L.; Chardin, M.; Hassanzadeh, S.H.; Simis, A.; Tran, Q.H. |
| Filiación: | Departamento de Matemática, FCEN, Universidad de Buenos Aires, Argentina Université Côte d'Azur, Inria, 2004 route des Lucioles, Sophia Antipolis, 06902, France Institut de Mathématiques de Jussieu, UPMC, 4 place Jussieu, Paris, 75005, France Instituto de Matematica, Universidade Federal do Rio de Janeiro, Brazil Departamento de Matemática, Universidade Federal de Pernambuco, Recife, Pernambuco 50740-560, Brazil Hue University's College of Education, 34 Le Loi St., Hue City, Viet Nam |
| Palabras clave: | Bigraded base ideal; Bigraded rational maps; Birationality criteria; Jacobian dual rank; Rees algebras |
| Año: | 2017 |
| Volumen: | 81 |
| Página de inicio: | 69 |
| Página de fin: | 87 |
| DOI: | http://dx.doi.org/10.1016/j.jsc.2016.12.001 |
| Título revista: | Journal of Symbolic Computation |
| Título revista abreviado: | J. Symb. Comput. |
| ISSN: | 07477171 |
| Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_07477171_v81_n_p69_Botbol |
Referencias:
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Citas:
---------- APA ----------
Botbol, N., Busé, L., Chardin, M., Hassanzadeh, S.H., Simis, A. & Tran, Q.H. (2017) . Effective criteria for bigraded birational maps. Journal of Symbolic Computation, 81, 69-87.http://dx.doi.org/10.1016/j.jsc.2016.12.001
---------- CHICAGO ----------
Botbol, N., Busé, L., Chardin, M., Hassanzadeh, S.H., Simis, A., Tran, Q.H. "Effective criteria for bigraded birational maps" . Journal of Symbolic Computation 81 (2017) : 69-87.http://dx.doi.org/10.1016/j.jsc.2016.12.001
---------- MLA ----------
Botbol, N., Busé, L., Chardin, M., Hassanzadeh, S.H., Simis, A., Tran, Q.H. "Effective criteria for bigraded birational maps" . Journal of Symbolic Computation, vol. 81, 2017, pp. 69-87.http://dx.doi.org/10.1016/j.jsc.2016.12.001
---------- VANCOUVER ----------
Botbol, N., Busé, L., Chardin, M., Hassanzadeh, S.H., Simis, A., Tran, Q.H. Effective criteria for bigraded birational maps. J. Symb. Comput. 2017;81:69-87.http://dx.doi.org/10.1016/j.jsc.2016.12.001
