diff --git a/src/scanpydoc/elegant_typehints/_formatting.py b/src/scanpydoc/elegant_typehints/_formatting.py
index dd1ef66..058bb68 100644
--- a/src/scanpydoc/elegant_typehints/_formatting.py
+++ b/src/scanpydoc/elegant_typehints/_formatting.py
@@ -6,6 +6,7 @@
 from types import UnionType
 from typing import TYPE_CHECKING, Any, Literal, Union, get_args, get_origin
 from typing import Callable as t_Callable
+from typing import Dict as t_Dict  # noqa: UP035
 from typing import Mapping as t_Mapping  # noqa: UP035
 
 from docutils import nodes
@@ -64,7 +65,7 @@ def _format_terse(annotation: type[Any], config: Config) -> str:
         return f":py:class:`{tilde}collections.abc.Mapping`"
 
     # display dict as {k: v}
-    if origin is dict and len(args) == 2:  # noqa: PLR2004
+    if origin in (dict, t_Dict) and len(args) == 2:  # noqa: UP006, PLR2004
         k, v = args
         return f"{{{fmt(k)}: {fmt(v)}}}"
 
diff --git a/src/scanpydoc/elegant_typehints/_return_tuple.py b/src/scanpydoc/elegant_typehints/_return_tuple.py
index c002b81..0064c33 100644
--- a/src/scanpydoc/elegant_typehints/_return_tuple.py
+++ b/src/scanpydoc/elegant_typehints/_return_tuple.py
@@ -2,14 +2,17 @@
 
 import inspect
 import re
-from collections.abc import Collection
 from logging import getLogger
-from typing import TYPE_CHECKING, Any, get_args, get_origin, get_type_hints
+from types import UnionType
+from typing import TYPE_CHECKING, Any, Union, get_args, get_origin, get_type_hints
+from typing import Tuple as t_Tuple  # noqa: UP035
 
 from ._formatting import format_both
 
 
 if TYPE_CHECKING:
+    from collections.abc import Collection
+
     from sphinx.application import Sphinx
     from sphinx.ext.autodoc import Options
 
@@ -19,17 +22,15 @@
 
 
 def get_tuple_annot(annotation: type | None) -> tuple[type, ...] | None:
-    from typing import Union
-
     if annotation is None:
         return None
     origin = get_origin(annotation)
     if not origin:
         return None
-    if origin is Union:
+    if origin in (Union, UnionType):
         for annot in get_args(annotation):
             origin = get_origin(annot)
-            if origin in (tuple, tuple):
+            if origin in (tuple, t_Tuple):  # noqa: UP006
                 annotation = annot
                 break
         else: