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Volumn 128, Issue 2, 2001, Pages 217-240

Rational Hypergeometric Functions

Author keywords

Discriminants; Hypergeometric functions; Residues; Resultants; Toric varieties

Indexed keywords


EID: 0010637639     PISSN: 0010437X     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1017541231618     Document Type: Article
Times cited : (25)

References (19)
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  • 2
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    • Dual polyhedra and mirror symmetry for Calabi-Yau hypersurfaces in toric varieties
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  • 4
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    • The A-hypergeometric system associated with a monomial curve
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    • (1999) Duke Math. J. , vol.99 , pp. 179-207
    • Cattani, E.1    D'Andrea, C.2    Dickenstein, A.3
  • 5
    • 0031139050 scopus 로고    scopus 로고
    • A global view of residues in the torus
    • Cattani, E. and Dickenstein, A.: A global view of residues in the torus, J. Pure Appl. Algebra 117/118 (1997), 119-144.
    • (1997) J. Pure Appl. Algebra , vol.117-118 , pp. 119-144
    • Cattani, E.1    Dickenstein, A.2
  • 8
    • 0002953845 scopus 로고    scopus 로고
    • Toric residues
    • Cox, D.: Toric residues, Arkiv Mat. 34 (1996), 73-96.
    • (1996) Arkiv Mat. , vol.34 , pp. 73-96
    • Cox, D.1
  • 10
    • 0000862786 scopus 로고
    • Generalized Euler integrals and A-hypergeometric functions
    • Gel'fand, I. M., Kapranov, M. and Zelevinsky, A.: Generalized Euler integrals and A-hypergeometric functions, Adv. in Math. 84 (1990), 255-271.
    • (1990) Adv. in Math. , vol.84 , pp. 255-271
    • GeL'Fand, I.M.1    Kapranov, M.2    Zelevinsky, A.3
  • 13
    • 0002615049 scopus 로고
    • Newton polyhedra and the genus of complete intersections
    • Khovanskii, A. G.: Newton polyhedra and the genus of complete intersections, Funct. Anal. Appl 12 (1978), 51-61.
    • (1978) Funct. Anal. Appl , vol.12 , pp. 51-61
    • Khovanskii, A.G.1
  • 15
    • 51249161636 scopus 로고
    • Product formulas for resultants and Chow forms
    • Pedersen, P. and Sturmfels, B.: Product formulas for resultants and Chow forms, Math. Zeit. 214 (1993), 377-396.
    • (1993) Math. Zeit. , vol.214 , pp. 377-396
    • Pedersen, P.1    Sturmfels, B.2
  • 16
    • 0003280524 scopus 로고    scopus 로고
    • Galois Theory of Difference Equations
    • Springer, New York
    • van der Put, M. and Singer, M. F.: Galois Theory of Difference Equations, Lecture Notes in Math. 1666, Springer, New York, 1997.
    • (1997) Lecture Notes in Math. , vol.1666
    • Van Der Put, M.1    Singer, M.F.2
  • 18
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    • Gröbner Deformations of Hypergeometric Differential Equations
    • Springer-Verlag, Heidelberg
    • Saito, M., Sturmfels, B. and Takayama, N.: Gröbner Deformations of Hypergeometric Differential Equations, Algorithms and Computation in Math. 6, Springer-Verlag, Heidelberg, 1999.
    • (1999) Algorithms and Computation in Math. , vol.6
    • Saito, M.1    Sturmfels, B.2    Takayama, N.3
  • 19
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    • Cambridge Stud. Adv. Math. 49, Cambridge Univ. Press
    • Stanley, R.: Enumerative Combinatorics, Volume I, Cambridge Stud. Adv. Math. 49, Cambridge Univ. Press, 1997.
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    • Stanley, R.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.