diff --git a/src/scanpydoc/_types.py b/src/scanpydoc/_types.py
new file mode 100644
index 0000000..6c06f18
--- /dev/null
+++ b/src/scanpydoc/_types.py
@@ -0,0 +1,6 @@
+from __future__ import annotations
+
+from typing import Generic, TypeVar
+
+
+_GenericAlias: type = type(Generic[TypeVar("_")])
diff --git a/src/scanpydoc/elegant_typehints/_formatting.py b/src/scanpydoc/elegant_typehints/_formatting.py
index f256c54..24edb3e 100644
--- a/src/scanpydoc/elegant_typehints/_formatting.py
+++ b/src/scanpydoc/elegant_typehints/_formatting.py
@@ -3,11 +3,12 @@
 import sys
 import inspect
 from types import GenericAlias
-from typing import TYPE_CHECKING, Any, Generic, TypeVar, cast, get_args, get_origin
+from typing import TYPE_CHECKING, Any, cast, get_args, get_origin
 
 from sphinx_autodoc_typehints import format_annotation
 
 from scanpydoc import elegant_typehints
+from scanpydoc._types import _GenericAlias
 
 
 if TYPE_CHECKING:
@@ -20,9 +21,6 @@
     UnionType = None
 
 
-_GenericAlias: type = type(Generic[TypeVar("_")])
-
-
 def typehints_formatter(annotation: type[Any], config: Config) -> str | None:
     """Generate reStructuredText containing links to the types.
 
diff --git a/src/scanpydoc/rtd_github_links/__init__.py b/src/scanpydoc/rtd_github_links/__init__.py
index ced719a..5a44ad5 100644
--- a/src/scanpydoc/rtd_github_links/__init__.py
+++ b/src/scanpydoc/rtd_github_links/__init__.py
@@ -61,7 +61,7 @@
 
 import sys
 import inspect
-from types import ModuleType
+from types import ModuleType, GenericAlias
 from typing import TYPE_CHECKING
 from pathlib import Path, PurePosixPath
 from importlib import import_module
@@ -70,6 +70,7 @@
 from jinja2.defaults import DEFAULT_FILTERS  # type: ignore[attr-defined]
 
 from scanpydoc import metadata, _setup_sig
+from scanpydoc._types import _GenericAlias
 
 
 if TYPE_CHECKING:
@@ -158,7 +159,7 @@ def _get_obj_module(qualname: str) -> tuple[Any, ModuleType]:
                     raise e from None
         if isinstance(thing, ModuleType):  # pragma: no cover
             mod = thing
-        elif is_dataclass(obj):
+        elif is_dataclass(obj) or isinstance(thing, (GenericAlias, _GenericAlias)):
             obj = thing
         else:
             obj = thing
@@ -186,7 +187,8 @@ def _module_path(obj: _SourceObjectType, module: ModuleType) -> PurePosixPath:
     try:
         file = Path(inspect.getabsfile(obj))
     except TypeError:
-        file = Path(module.__file__ or "")
+        # Some don’t have the attribute, some have it set to None
+        file = Path(getattr(module, "__file__", None) or "")
     offset = -1 if file.name == "__init__.py" else 0
     parts = module.__name__.split(".")
     return PurePosixPath(*file.parts[offset - len(parts) :])
diff --git a/src/scanpydoc/rtd_github_links/_testdata.py b/src/scanpydoc/rtd_github_links/_testdata.py
index e20d6a8..4fe3430 100644
--- a/src/scanpydoc/rtd_github_links/_testdata.py
+++ b/src/scanpydoc/rtd_github_links/_testdata.py
@@ -2,11 +2,31 @@
 
 from __future__ import annotations
 
+from typing import TYPE_CHECKING, Generic, TypeVar
 from dataclasses import field, dataclass
 
 from legacy_api_wrap import legacy_api
 
 
+if TYPE_CHECKING:
+    from typing import TypeAlias
+
+
+_T = TypeVar("_T")
+
+
+class _G(Generic[_T]):
+    pass
+
+
+# make sure that TestGenericClass keeps its __module__
+_G.__module__ = "somewhere_else"
+
+
+TestGenericBuiltin: TypeAlias = list[str]
+TestGenericClass: TypeAlias = _G[int]
+
+
 @dataclass
 class TestDataCls:
     test_attr: dict[str, str] = field(default_factory=dict)
diff --git a/tests/test_rtd_github_links.py b/tests/test_rtd_github_links.py
index 05ad219..45658eb 100644
--- a/tests/test_rtd_github_links.py
+++ b/tests/test_rtd_github_links.py
@@ -204,6 +204,20 @@ def test_get_github_url_error() -> None:
             "scanpydoc/rtd_github_links/_testdata.py",
             id="anno",
         ),
+        pytest.param(
+            "scanpydoc.rtd_github_links._testdata.TestGenericBuiltin",
+            _testdata.TestGenericBuiltin,
+            _testdata,
+            "scanpydoc/rtd_github_links/_testdata.py",
+            id="generic_builtin",
+        ),
+        pytest.param(
+            "scanpydoc.rtd_github_links._testdata.TestGenericClass",
+            _testdata.TestGenericClass,
+            _testdata,
+            "scanpydoc/rtd_github_links/_testdata.py",
+            id="generic_class",
+        ),
     ],
 )
 def test_get_obj_module_path(