Logarithmic Hesse's Problem
classification
🧮 math.AG
keywords
laurentlogarithmicpolynomialtorusvariablesalgebraicautomorphismcomplex
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We show that if a Laurent polynomial on the coordinate ring of the complex algebraic torus on n variables has vanishing logarithmic Hessian, then up to an automorphism of the torus, the Laurent polynomial depends on at most n-1 variables.
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