Legal Question in Landlord & Tenant Law in New Mexico

New Mexico is indeed a community property state, and one spouse is liable for the necessities purchased by another. A place to live is such a necessity. You can join him in the lawsuit against you as a defendant, or you can file for divorce and have the obligation worked out in that context. But if you do nothing, you can expect a judgment against you for the balance of the unpaid lease and any associated costs contained within it.