N.M. Stat. § 19-2-10

A. Upon receipt by the governor of a notice of intention to acquire legislative jurisdiction by the United States for the creation of a national monument, submission of the notice to the attorney general for his comments and recommendations, in accordance with Section 19-2-2 NMSA 1978 , and approval of the plan for the national monument by the director of the museum division, the cultural properties review committee and the state historic preservation officer, legislative jurisdiction is ceded to the United States over lands in Torrance county comprising the Quarai and the Abo state monuments. Jurisdiction is ceded subject to the limitations stipulated in Section 19-2-3 NMSA 1978 . Jurisdiction is ceded only for the purpose of incorporating land within a national monument and shall revert to the state whenever all or part of such lands are not used for this purpose.

B. All transfers hereunder shall conform to the legal descriptions of the sites as established by the museum division of the office of cultural affairs.