ELI5: Explain Like I'm 5

Unibranch local ring

Okay, so imagine you have a little toy house with a chimney. A unibranch local ring is like a secret hideout inside the chimney - but it's only big enough for one person to fit in.

Now, a ring is a special type of mathematical object that you can't really see or touch. It's a bit like a circle that goes around and around forever but with some rules about adding and multiplying things.

In this particular type of ring, called a local ring, everything is happening in a very small area - like our little hideout in the chimney. And it's called a unibranch local ring because there's only one path leading into it, like the narrow opening in the chimney.

So, imagine you're hiding in your little unibranch local ring, and you're trying to do some math problems with the things in the ring. It's like you're in your own secret world where everything is happening in this one small space. And no one can bother you there!

I hope that helps you understand a little bit about what a unibranch local ring is.