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The goal of this paper is to raise the possibility that there exists a meaningful theory of `motives' associated to certain hypergeometric integrals, viewed as functions of their parameters.
Équations différentielles à points singuliers réguliers
P. Deligne · 1970
Earlier work this paper cites.
On the Euler integral representations of hypergeometric functions in several variables
A. Hattori and T. Kimura · 1974
Earlier work this paper cites.
On vanishing of cohomology attached to certain many valued meromorphic functions
K. Aomoto · 1975
Earlier work this paper cites.
On the structure of cohomology groups attached to the integral of certain many-valued analytic functions
M. Kita and M. Noumi · 1983
Earlier work this paper cites.
Infinite conformal symmetry in two-dimensional quantum field theory
A. A. Belavin, A. M. Polyakov, and A. B. Zamolodchikov · 1984
Earlier work this paper cites.
Current algebra and Wess-Zumino model in two dimensions
V. G. Knizhnik and A. B. Zamolodchikov · 1984
Earlier work this paper cites.
Four-point correlation functions and the operator algebra in 2 2 D conformal invariant theories with central charge C ≤ 1 C\leq 1
Vl. S. Dotsenko and V. A. Fateev · 1985
Earlier work this paper cites.
Monodromy of hypergeometric functions and nonlattice integral monodromy
P. Deligne and G. D. Mostow · 1986
Earlier work this paper cites.
A relation between tree amplitudes of closed and open strings
H. Kawai, D. C. Lewellen, and S.-H. H. Tye · 1986
Earlier work this paper cites.
On the complex Selberg integral
K. Aomoto · 1987
Earlier work this paper cites.
On some properties of the universal power series for Jacobi sums
Y. Ihara, M. Kaneko, and A. Yukinari · 1987
Earlier work this paper cites.
On quasitriangular quasi-Hopf algebras and on a group that is closely connected with Gal ( ℚ ¯ / ℚ ) \mathrm{Gal}(\overline{\mathbb{Q}}/{\mathbb{Q}})
V. G. Drinfeld · 1990
Earlier work this paper cites.
Equations aux différences finies et déterminants d’intégrales de fonctions multiformes
F. Loeser and C. Sabbah · 1991
Earlier work this paper cites.
Cohomology of local systems on the complement of hyperplanes
H. Esnault, V. Schechtman, and E. Viehweg · 1992
Earlier work this paper cites.
Intersection Theory for Twisted Cycles
M. Kita and M. Yoshida · 1994
Earlier work this paper cites.
Intersection Theory for Twisted Cycles II – Degenerate Arrangements
M. Kita and M. Yoshida · 1994
Cited alongside, same era.
Intersection theory for twisted cohomologies and twisted Riemann’s period relations. I
K. Cho and K. Matsumoto · 1995
Cited alongside, same era.
On exterior Galois representations associated with open elliptic curves
H. Nakamura · 1995
Cited alongside, same era.
Intersection numbers for logarithmic k k -forms
K. Matsumoto · 1998
Cited alongside, same era.
Hodge structure on twisted cohomologies and twisted Riemann inequalities I
M. Hanamura and M. Yoshida · 1999
Cited alongside, same era.
Intersection Numbers of Twisted Cycles and the Correlation Functions of the Conformal Field Theory
K. Mimachi and M. Yoshida · 2003
Cited alongside, same era.
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Later among the works it cites.
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