Codimension two integral points on some rationally connected threefolds are potentially dense

Let X X be a smooth, projective, rationally connected variety, defined over number field alttext="k"> k encoding="application/x-tex">k , and let Z subset-of upper Z ? encoding="application/x-tex">Z\subset X closed subset of codimension at least two. In this paper, for certain choices we prove that the set Z"> encoding="application/x-tex">Z -integral points is potentially Zariski dense, in sense there finite extension K"> K encoding="application/x-tex">K such P element-of X left-parenthesis K right-parenthesis"> P ?<!-- ? <mml:mo stretchy="false">( stretchy="false">) encoding="application/x-tex">P\in X(K) are dense . This gives positive answer to question Hassett Tschinkel from 2001.