**Object** coordinate space is the default space in geometry nodes:

[![][1]][1]

**UV** is default coordinate space in the shader, but you can pass it to the geometry nodes as input:

[![][2]][2]

**Generated:**

[![][3]][3]


  [1]: https://i.sstatic.net/8PVsh.png
  [2]: https://i.sstatic.net/h2nAr.png
  [3]: https://i.sstatic.net/bIVUy.png