I have spoken out against reincarnation before, and have even used this verse before, but for some reason the word REMAIN really stuck out to me this time in this verse.

Alma 40:14 Now this is the state of the souls of the wicked, yea, in darkness, and a state of awful, fearful looking for the fiery indignation of the wrath of God upon them; thus they REMAIN in this state, as well as the righteous in paradise, until the time of their resurrection.

This verse is saying were ever the person will go after they die, hell or paradise, they will stay there till the time of their resurrection.