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arxiv: 1104.1369 · v4 · pith:SHRQ5N46new · submitted 2011-04-07 · 🧮 math.AG · math-ph· math.MP

A-hypergeometric functions in transcendental questions of algebraic geometry

classification 🧮 math.AG math-phmath.MP
keywords a-hypergeometricfunctionsalgebraicvarietiesaffinecoefficientscomplexconstructions
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We generalize the known constructions of A-hypergeometric functions. In particular, we show that periods of middle dimension on affine or projective complex algebraic varieties are A-hypergeometric functions of coefficients of polynomial equations of these varieties.

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