Geodesic
$A$-Hypergeometric Functions in Transcendental Questions of Algebraic Geometry
Funkcionalʹnyj analiz i ego priloženiâ, Tome 48 (2014) no. 1, pp. 93-96.

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We generalize known constructions of $A$-hypergeometric functions. In particular, we show that the periods of middle dimension on affine or projective complex algebraic varieties are $A$-hypergeometric functions of the coefficients of polynomial equations of these varieties.
Keywords: hypergeometric system, periods, Gelfand–Leray integral. 
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     author = {A. V. Stoyanovskii},
     title = {$A${-Hypergeometric} {Functions} in {Transcendental} {Questions} of {Algebraic} {Geometry}},
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A. V. Stoyanovskii. $A$-Hypergeometric Functions in Transcendental Questions of Algebraic Geometry. Funkcionalʹnyj analiz i ego priloženiâ, Tome 48 (2014) no. 1, pp. 93-96. http://geodesic.mathdoc.fr/item/FAA_2014_48_1_a7/

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