On the convergence of the affine hull of the Chv\'atal-Gomory closures
  Given an integral polyhedron P and a rational polyhedron Q living in the same n-dimensional space and containing the same integer points as P, we investigate how many iterations of the Chv\'atal-Gomory closure operator have to be performed on Q to obtain a polyhedron contained in the affine hull of P. We show that if P contains an integer point in its relative interior, then such a number of iterations can be bounded by a function depending only on n. On the other hand, we prove that if P is not full-dimensional and does not contain any integer point in its relative interior, then no finite bound on the number of iterations exists. 
Gennadiy Averkov, Michele Conforti, Alberto Del Pia, Marco Di Summa,   and Yuri Faenza
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