Abstract:
New formulae are given for Chow forms, discriminants and resultants arising from (not necessarily normal) toric varieties of codimension 2. The Newton polygon of the discriminant is determined exactly. © 2002 Elsevier Science Ltd. All rights reserved.
Registro:
Documento: |
Artículo
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Título: | Elimination theory in codimension 2 |
Autor: | Dickenstein, A.; Sturmfels, B. |
Filiación: | Dto. De Matemática, FCEyN, Universidad De Buenos Aires, (1428) Buenos Aires, Argentina Dept. of Mathematics, University of California, Berkeley, CA 94720, United States
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Año: | 2002
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Volumen: | 34
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Número: | 2
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Página de inicio: | 119
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Página de fin: | 135
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DOI: |
http://dx.doi.org/10.1006/jsco.2002.0545 |
Título revista: | Journal of Symbolic Computation
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Título revista abreviado: | J. Symb. Comput.
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ISSN: | 07477171
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PDF: | https://bibliotecadigital.exactas.uba.ar/download/paper/paper_07477171_v34_n2_p119_Dickenstein.pdf |
Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_07477171_v34_n2_p119_Dickenstein |
Referencias:
- Billera, L.J., Filliman, P., Sturmfels, B., Constructions and complexity of secondary polytopes (1990) Adv. Math, 83, pp. 155-179
- Cattani, E., Dickenstein, A., Sturmfels, B., Rational hypergeometric functions (2001) Compos. Math, 128, pp. 217-240
- Eisenbud, D., Schreyer, F., Resultants and Chow forms via Exterior Syzygics http://arxiv.org/abs/math.AG/0111040, Preprint; Gel'fand, I.M., Zelevinsky, A., Kapranov, M., Hypergeometric functions and toric varieties (1989) Funct. Anal. Appl, 23, pp. 94-106
- Gel'fand, I.M., Kapranov, M., Zelevinsky, A., Discriminants, Resultants and Multidimensional Determinants (1994), Boston, MA, Birkhäuser; Grünbaum, A., Convex Polytopes (1967), London, lnterscience Publishers; Pedersen, P., Sturmfels, B., Product formulas for resultants and Chow forms (1993) Math. Z, 214, pp. 377-396
- Peeva, I., Sturmfels, B., Syzygies of codimension 2 lattice ideals (1998) Math. Z, 229, pp. 163-194
- Sadykov T., M., The Hadamard product of hypergeometric series Bull. Sci. Math, , http://www.matematik.su.se/reports/2001/, Preprint to appear in
- Sturmfels, B., Sparse elimination theory (1993) Computational Algebraic Geometry and Commutative Algebra, pp. 264-298. , Eisenbud, D., Robbiano, L. eds, Cambridge University Press
- Sturmfels, B., Gröbner Bases and Convex Polytopes (1995), American Mathematical Society
Citas:
---------- APA ----------
Dickenstein, A. & Sturmfels, B.
(2002)
. Elimination theory in codimension 2. Journal of Symbolic Computation, 34(2), 119-135.
http://dx.doi.org/10.1006/jsco.2002.0545---------- CHICAGO ----------
Dickenstein, A., Sturmfels, B.
"Elimination theory in codimension 2"
. Journal of Symbolic Computation 34, no. 2
(2002) : 119-135.
http://dx.doi.org/10.1006/jsco.2002.0545---------- MLA ----------
Dickenstein, A., Sturmfels, B.
"Elimination theory in codimension 2"
. Journal of Symbolic Computation, vol. 34, no. 2, 2002, pp. 119-135.
http://dx.doi.org/10.1006/jsco.2002.0545---------- VANCOUVER ----------
Dickenstein, A., Sturmfels, B. Elimination theory in codimension 2. J. Symb. Comput. 2002;34(2):119-135.
http://dx.doi.org/10.1006/jsco.2002.0545