diff --git a/README.md b/README.md
index 7b2266f..2f1f868 100644
--- a/README.md
+++ b/README.md
@@ -14,9 +14,9 @@
 
 It offers the following classes:
 
-* [`FoamFile`](https://foamlib.readthedocs.io/en/stable/#foamlib.FoamFile) (and [`FoamFieldFile`](https://foamlib.readthedocs.io/en/stable/#foamlib.FoamFieldFile)): read-write access to OpenFOAM configuration and field files as if they were Python `dict`s, using `foamlib`'s own parser. Supports both ASCII and binary field formats.
-* [`FoamCase`](https://foamlib.readthedocs.io/en/stable/#foamlib.FoamCase): a class for manipulating, executing and accessing the results of OpenFOAM cases.
-* [`AsyncFoamCase`](https://foamlib.readthedocs.io/en/stable/#foamlib.AsyncFoamCase): variant of `FoamCase` with asynchronous methods for running multiple cases at once.
+* [`FoamFile`](https://foamlib.readthedocs.io/en/stable/files.html#foamlib.FoamFile) (and [`FoamFieldFile`](https://foamlib.readthedocs.io/en/stable/files.html#foamlib.FoamFieldFile)): read-write access to OpenFOAM configuration and field files as if they were Python `dict`s, using `foamlib`'s own parser. Supports both ASCII and binary field formats.
+* [`FoamCase`](https://foamlib.readthedocs.io/en/stable/cases.html#foamlib.FoamCase): a class for manipulating, executing and accessing the results of OpenFOAM cases.
+* [`AsyncFoamCase`](https://foamlib.readthedocs.io/en/stable/cases.html#foamlib.AsyncFoamCase): variant of `FoamCase` with asynchronous methods for running multiple cases at once.
 
 ## Get started
 
@@ -78,7 +78,6 @@ from foamlib import AsyncFoamCase
 
 async def run_case():
     my_pitz_async = AsyncFoamCase(my_pitz)
-
     await my_pitz_async.run()
 
 asyncio.run(run_case())