Removing Vinyl Residue on Wood Furniture?

Unfortunately, we left a Leeds Padfolio, made from "durahyde, I think on our wood credenza for an extended period of time. It appears to have transferred part of its surface onto the wood. What was once a smooth wood finish now has a texture that feels like an alligator and is waxy. I tried to use my fingernail to remove it, but it just smudges. I am interested in how others have tackled issues such as this. Thank you!