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ANSWER:
The past land grants are types of land grants of New Mexico.
-Hispano community: these were made to a group of Hispanos that included settlers to receive tracts of land for their houses, and having the right to use the rest of the common land for activities like pasturing the cattle.
-Hispano Quasi-community: these grants were for the Hispano owners of the entire grant, after 4 years of possession as a requirement they could sell them under the condition of bringing more settlers, and once they arrived perform the grants as a Community grant.
-Hispano empresario: these were made by the Mexican Government and its goal was to get colonization or settlement. Was required to recruit a certain number of settlers in 4 years, in exchange they get a 4 square league grant for themselves.