Duality and monodromy reducibility of A-hypergeometric systems

Mathematische Annalen

Volumn 338, Issue 1, 2007, Pages 55-74

  Walther, Uli ^a  

^a PURDUE UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 34248325619     PISSN: 00255831     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00208-006-0067-x     Document Type: Article

References (11)

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4. Gel'fand, I.M., Zelevinskiǐ, A.V., Kapranov, M.M.: Generalized Euler integrals and A-hypergeometric functions. Adv. Math. 84, 255-271 (1990)
5. Hotta, R.: Equivariant D-modules. arXiv:math.RT/9805021, pp. 1-36 (1998)
6. Matusevich, L.F., Miller, E., Walther, U.: Homological methods for hypergeometric families. J. Amer. Math. Soc. 18, 919-941 (2005)
7. Saito, M.: Isomorphism classes of A-hypergeometric systems. Compositio Math. 128(3), 323-338 (2001)
8. Saito, M., Sturmfels, B., 'Ikkayama, N.: Gröbner deformations of hypergeometric differential equations, vol. 6 of Algorithms and Computation in Mathematics. Springer, Berlin Heidelberg New York (2000)
9. Schulze, M., Walther, U.: Regularity and slopes of A-hypergeometric systems. arXivmath.AG/ 0608668, pp. 1-41 (2006)
10. Sturmfels, B.: Solving algebraic equations in terms of A-hypergeometric series. Discrete Math. 210(1-3), 171-181, 2000. Formal power series and algebraic combinatorics (Minneapolis) (1996)
11. Sturmfels, B., Takayama, N.: Gröbner bases and hypergeometric functions. In: Gröbner (ed.) Bases and Applications (Linz, 1998), vol. 251 of London Math. Soc. Lecture Note Ser., pp 246-258. Cambridge University Press, Cambridge (1998)