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The Chvátal-Gomory Closure of a Strictly Convex Body

In this paper, we prove that the Chvatal-Gomory closure of a set obtained as an intersection of a strictly convex body and a rational polyhedron is a polyhedron. Thus, we generalize a result of Schrijver [Schrijver, A. 1980. On cutting planes. Ann. Discrete Math.9 291--296], which shows that the Chvatal-Gomory closure of a rational polyhedron is a polyhedron.