Abstract
For a multivariate power series f, let Cone(f) denote the cone generated by the exponents of the monomials with nonzero coefficients. Assume that f is an expansion of a rational function p/q with gcd(p,q)=1. Then we prove that the closure Cone¯(f) is equal to Cone(p)+Cone(q). As applications, we show the irrationality of Euler–Chow series of certain algebraic varieties.
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