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Abstract:

Given a birational parameterization ϕ of an algebraic surface S⊂P3, the purpose of this paper is to investigate the sets of points on S whose pre-image consists of k or more points, counting multiplicities. These points are described explicitly in terms of Fitting ideals of some graded parts of the symmetric algebra associated with the parameterization ϕ. To obtain this description, we show that the degree and dimension of a fiber could be computed by comparing the drop of rank of two explicit (representation) matrices associated with ϕ. © 2014.

Registro:

Documento: Artículo
Título:Fitting ideals and multiple points of surface parameterizations
Autor:Botbol, N.; Busé, L.; Chardin, M.
Filiación:Departamento de Matemática, FCEN, Universidad de Buenos Aires, Argentina
INRIA Sophia Antipolis - Méditerranée, Galaad team, 2004 route des Lucioles, B.P. 93, Sophia Antipolis, F-06902, France
Institut Mathématique de Jussieu et Université Pierre et Marie Curie, Boîte 247, 4 place Jussieu, Paris CEDEX 05, F-75252, France
Palabras clave:Fibers of morphisms; Fitting ideals; Matrix representation; Rational maps; Symmetric and rees algebras
Año:2014
Volumen:420
Página de inicio:486
Página de fin:508
DOI: http://dx.doi.org/10.1016/j.jalgebra.2014.07.028
Título revista:Journal of Algebra
Título revista abreviado:J. Algebra
ISSN:00218693
CODEN:JALGA
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00218693_v420_n_p486_Botbol

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Citas:

---------- APA ----------
Botbol, N., Busé, L. & Chardin, M. (2014) . Fitting ideals and multiple points of surface parameterizations. Journal of Algebra, 420, 486-508.
http://dx.doi.org/10.1016/j.jalgebra.2014.07.028
---------- CHICAGO ----------
Botbol, N., Busé, L., Chardin, M. "Fitting ideals and multiple points of surface parameterizations" . Journal of Algebra 420 (2014) : 486-508.
http://dx.doi.org/10.1016/j.jalgebra.2014.07.028
---------- MLA ----------
Botbol, N., Busé, L., Chardin, M. "Fitting ideals and multiple points of surface parameterizations" . Journal of Algebra, vol. 420, 2014, pp. 486-508.
http://dx.doi.org/10.1016/j.jalgebra.2014.07.028
---------- VANCOUVER ----------
Botbol, N., Busé, L., Chardin, M. Fitting ideals and multiple points of surface parameterizations. J. Algebra. 2014;420:486-508.
http://dx.doi.org/10.1016/j.jalgebra.2014.07.028