Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: ,  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,  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.
['Daniel Dadush', 'Santanu S. Dey', 'Juan Pablo Vielma']
I am writing a research paper on a idea The Chvátal-Gomory Closure of a Strictly Convex Body
[{"from": "human", "value": "I am writing a research paper on a idea The Chv\u00e1tal-Gomory Closure of a Strictly Convex Body"}, {"from": "gpt", "value": "Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: ,  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,  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."}]