Registro:
Documento: |
Artículo
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Título: | The script a sign-hypergeometric system associated with a monomial curve |
Autor: | Cattani, E.; D'Andrea, C.; Dickenstein, A. |
Filiación: | Dept. of Mathematics and Statistics, University of Massachussetts, Amherst, MA 01003, United States Departamento de Matemática, Universidad de Buenos Aires, Ciudad Universitaria, (1428) Buenos Aires, Argentina
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Año: | 1999
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Volumen: | 99
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Número: | 2
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Página de inicio: | 179
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Página de fin: | 207
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DOI: |
http://dx.doi.org/10.1215/S0012-7094-99-09908-8 |
Título revista: | Duke Mathematical Journal
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Título revista abreviado: | Duke Math. J.
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ISSN: | 00127094
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Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00127094_v99_n2_p179_Cattani |
Referencias:
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- Adolphson, A., Hypergeometric functions and rings generated by monomials (1994) Duke Math. J., 73, pp. 269-290
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- Batyrev, V., Variations of the mixed Hodge structure of affine hypersurfaces in algebraic tori (1993) Duke Math. J., 69, pp. 349-409
- Batyrev, V., Van Straten, D., Generalized hypergeometric functions and rational curves on Calabi-Yau complete intersections in toric varieties (1995) Comm. Math. Phys., 168, pp. 493-533
- Bruns, W., Herzog, J., Cohen-macaulay rings (1993) Cambridge Stud. Adv. Math., 39. , Cambridge Univ. Press, Cambridge
- Gel'fand, I.M., Kapranov, M., Zelevinsky, A., Generalized euler integrals and script a sign-hypergeometric functions (1990) Adv. Math., 84, pp. 255-271
- Discriminants, resultants, and multidimensional determinants (1994) Math. Theory Appl., , Birkhäuser, Boston
- Gel'fand, I.M., Zelevinsky, A., Kapranov, M., Hypergeometric functions and toral manifolds (1989) Funct. Anal. Appl., 23, pp. 94-106
- Correction to "hypergeometric functions and toral manifolds," (1994) Funct. Anal. Appl., 27, p. 295
- A-discriminants and cayley-koszul complexes (1990) Soviet Math. Dokl., 40, pp. 239-243
- Goto, S., Suzuki, N., Watanabe, K., On affine semigroup rings (1976) Japan. J. Math. (N.S.), 2, pp. 1-12
- Hosono, S., GKZ systems, gröbner fans, and moduli spaces of Calabi-Yau hypersurfaces (1998) Progr. Math., 160, pp. 239-265. , Topological Field Theory, Primitive Forms, and Related Topics (Kyoto, 1996), Birkhäuser, Boston
- Hosono, S., Lian, B.H., Yau, S.-T., GKZ-generalized hypergeometric systems in mirror symmetry of Calabi-Yau hypersurfaces (1996) Comm. Math. Phys., 182, pp. 535-577
- Maximal degeneracy points of GKZ systems (1997) J. Amer. Math. Soc., 10, pp. 427-443
- Khovanskii, A., Newton polyhedra and the euler-jacobi formula (1978) Russian Math. Surveys, 33 (6), pp. 237-238
- Mayr, K., Über die lösung algebraischer Gleichungssysteme durch hypergeometrische Funktionen (1937) Monatsh. Math. Phys., 45, pp. 280-313
- Saito, M., Sturmfels, B., Takayama, N., Hypergeometric polynomials and integer programming (1999) Compositio Math., 155, pp. 185-204
- Gröbner deformations of hypergeometric differential equations Algorithms Comput. Math., , to appear in, Springer-Verlag, Berlin
- Singer, M.F., Liouvillian solutions of nth order homogeneous linear differential equations (1981) Amer. J. Math., 103, pp. 661-682
- Stienstra, J., Resonant Hypergeometric Systems and Mirror Symmetry, , http://xxx.lanl.gov/abs/alg-geom/9711002, preprint
- Sturmfels, B., Solving algebraic equations in terms of Script a sign-hypergeometric series Discrete Math, , to appear in
- Sturmfels, B., Takayama, N., Gröbner bases and hypergeometric functions (1998) London Math. Soc. Lecture Note Ser., 251, pp. 246-258. , Gröbner Bases and Applications, ed. by B. Buchberger and F. Winkler, Cambridge Univ. Press, New York
- Takayama, N., (1991) Kan: A System for Computation in Algebraic Analysis, , http://www.math.s.kobe-u.ac.jp/KAN/
- Trung, N.V., Hoa, L.T., Affine semigroups and Cohen-Macaulay rings generated by monomials (1986) Trans. Amer. Math. Soc., 298, pp. 145-167
Citas:
---------- APA ----------
Cattani, E., D'Andrea, C. & Dickenstein, A.
(1999)
. The script a sign-hypergeometric system associated with a monomial curve. Duke Mathematical Journal, 99(2), 179-207.
http://dx.doi.org/10.1215/S0012-7094-99-09908-8---------- CHICAGO ----------
Cattani, E., D'Andrea, C., Dickenstein, A.
"The script a sign-hypergeometric system associated with a monomial curve"
. Duke Mathematical Journal 99, no. 2
(1999) : 179-207.
http://dx.doi.org/10.1215/S0012-7094-99-09908-8---------- MLA ----------
Cattani, E., D'Andrea, C., Dickenstein, A.
"The script a sign-hypergeometric system associated with a monomial curve"
. Duke Mathematical Journal, vol. 99, no. 2, 1999, pp. 179-207.
http://dx.doi.org/10.1215/S0012-7094-99-09908-8---------- VANCOUVER ----------
Cattani, E., D'Andrea, C., Dickenstein, A. The script a sign-hypergeometric system associated with a monomial curve. Duke Math. J. 1999;99(2):179-207.
http://dx.doi.org/10.1215/S0012-7094-99-09908-8