Slopes of hypergeometric systems of codimension one

Revista Matematica Iberoamericana

Volumn 19, Issue 2, 2003, Pages 455-465

  Hermoso, María Isabel Hartillo ^a  

^a UNIVERSITY OF CÁDIZ   (Spain)

Author keywords

D module; Hypergeometric systems; Slopes

Indexed keywords

EID: 0141942089     PISSN: 02132230     EISSN: 22350616     Source Type: Journal    
DOI: None     Document Type: Article

References (12)

1. ADOLPHSON, A.: Hypergeometric functions and rings generated by monomials. Duke Math. J. 73 (1994), 269-290.
2. ASSI, A., CASTRO-JIMÉNEZ, F. J. AND GRANGER, J. M.: How to calculate the slopes of a D-module. Compositio Math. 104 (1996), 107-123.
3. CASTRO-JIMÉNEZ, F. J. AND TAKAYAMA, N.: Slopes of a hypergeometric System Associated to a Monomial Curve. To appear in Trans. Amer. Math. Soc. Also available at math.AG/0107046.
4. GEL'FAND, I. M., ZELEVINSKI, A. V. AND KAPRANOV, M. M.: Hypergeometric functions and toric varieties. Funktsional. Anal. i Prilozhen. 23 (1989), no. 2, 12-26; translation in Funct. Anal. Appl. 23 (1989), no. 2, 94-106.
5. GEL'FAND, I. M., ZELEVINSKI, A. V. AND KAPRANOV, M. M.: Hypergeometric functions and toric varieties. Funktsional. Anal. i Prilozhen. 23 (1989), no. 2, 12-26; translation in Funct. Anal. Appl. 23 (1989), no. 2, 94-106.
6. HOTTA, R.: Equivariant D-modules. In Proceedings of ICPAM Spring School in Wuhan, edited by P. Torasso. To appear in Travaux en Cours, Hermann, Paris. Also available at math.RT/9805021.
7. INCE, E. L.: Ordinary Differential Equations. Dover Publications, New York, 1956.
8. LAURENT, Y.: Polygone de Newton et b-fonctions pour les modules microdifférentiels. Ann. Sci. École Norm. Sup. (4) 20 (1987), 391-441.
9. LAURENT, Y. AND MEBKHOUT, Z.: Pentes algébriques et pentes analytiques d'un D-module. Ann. Sci. École Norm. Sup. (4) 32 (1999), 39-69.
10. X-modules cohérent. Travaux en cours 35, Hermann, Paris, 1989.
11. MEBKHOUT, Z.: Le théorème de positivité de l'irregularité pour le D-modules. In The Grothendieck Festschrift, III, 84 131. Progr. Math. 88, Birkhäuser, Boston, MA, 1990.
12. SAITO, M., STURMFELS, B. AND TAKAYAMA, N.: Gröbner deformations of hypergeometric differential equations, Algorithms and Computations in Mathematics 6, Springer-Verlag, Berlin, 2000.