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. 
@article{FAA_2014_48_1_a7,
     author = {A. V. Stoyanovskii},
     title = {$A${-Hypergeometric} {Functions} in {Transcendental} {Questions} of {Algebraic} {Geometry}},
     journal = {Funkcionalʹnyj analiz i ego prilo\v{z}eni\^a},
     pages = {93--96},
     publisher = {mathdoc},
     volume = {48},
     number = {1},
     year = {2014},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/FAA_2014_48_1_a7/}
}
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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/