Update README

Author: vstinner

README.rst

@@ -6,19 +6,14 @@ Python C API compatibility
    :alt: Build status of pythoncapi_compat on GitHub Actions
    :target: https://github.com/pythoncapi/pythoncapi_compat/actions
 
-The Python C API compatibility project is made of two parts:
+The ``pythoncapi_compat`` project can be used to write a C extension supporting
+a wide range of Python versions with a single code base. It is made of the
+``pythoncapi_compat.h`` header file and the ``upgrade_pythoncapi.py`` script.
 
-* ``pythoncapi_compat.h``: Header file providing new functions of the Python C
-  API to old Python versions.
-* ``upgrade_pythoncapi.py``: Script upgrading C extension modules to newer
-  Python API without losing support for old Python versions. It relies on
-  ``pythoncapi_compat.h``.
-
-Homepage:
-https://github.com/pythoncapi/pythoncapi_compat
-
-Latest header file:
-https://raw.githubusercontent.com/pythoncapi/pythoncapi_compat/master/pythoncapi_compat.h
+* Homepage: `GitHub pythoncapi_compat project
+  <https://github.com/pythoncapi/pythoncapi_compat>`_.
+* `Documentation
+  <https://pythoncapi-compat.readthedocs.io/en/latest/>`_
 
 This project is distributed under the MIT license and is covered by the `PSF
 Code of Conduct <https://www.python.org/psf/codeofconduct/>`_.

docs/index.rst

@@ -2,16 +2,14 @@
 Python C API compatibility
 ++++++++++++++++++++++++++
 
-.. image:: https://github.com/pythoncapi/pythoncapi_compat/actions/workflows/build.yml/badge.svg
-   :alt: Build status of pythoncapi_compat on GitHub Actions
-   :target: https://github.com/pythoncapi/pythoncapi_compat/actions
-
 The ``pythoncapi_compat`` project can be used to write a C extension supporting
 a wide range of Python versions with a single code base. It is made of the
 ``pythoncapi_compat.h`` header file and the ``upgrade_pythoncapi.py`` script.
 
-Homepage: `GitHub pythoncapi_compat project
-<https://github.com/pythoncapi/pythoncapi_compat>`_.
+* Homepage: `GitHub pythoncapi_compat project
+  <https://github.com/pythoncapi/pythoncapi_compat>`_.
+* `Documentation
+  <https://pythoncapi-compat.readthedocs.io/en/latest/>`_
 
 Documentation: