diff --git a/stubs/geopandas-stubs/_decorator.pyi b/stubs/geopandas-stubs/_decorator.pyi
index de51a90..03f7f23 100644
--- a/stubs/geopandas-stubs/_decorator.pyi
+++ b/stubs/geopandas-stubs/_decorator.pyi
@@ -12,7 +12,7 @@ _Func = TypeVar("_Func", bound=_AnyCallable)
 # - docstring from the original function properly displayed (at least with Pylance)
 # Using the other overloads returns the signature of the decorated function instead
 @overload
-def doc(func: _Func, /) -> Callable[[_AnyCallable], _Func]: ...
+def doc(func: _Func, /, **params: object) -> Callable[[_AnyCallable], _Func]: ...
 @overload
 def doc(docstring: str, /, *docstrings: str | _AnyCallable, **params: object) -> Callable[[_Func], _Func]: ...
 @overload
diff --git a/stubs/geopandas-stubs/geodataframe.pyi b/stubs/geopandas-stubs/geodataframe.pyi
index 0852f5d..68f4a92 100644
--- a/stubs/geopandas-stubs/geodataframe.pyi
+++ b/stubs/geopandas-stubs/geodataframe.pyi
@@ -1,3 +1,4 @@
+import io
 import os
 from _typeshed import Incomplete, SupportsGetItem, SupportsRead, SupportsWrite
 from collections.abc import Callable, Hashable, Iterable, Iterator, Mapping
@@ -227,18 +228,20 @@ class GeoDataFrame(GeoPandasBase, pd.DataFrame):  # type: ignore[misc]
     # Keep method to_file roughly in line with GeoSeries.to_file
     def to_file(
         self,
-        # TODO verify SupportsWrite[Any] is correct and remove Incomplete
-        filename: str | os.PathLike[str] | SupportsWrite[Any] | Incomplete,
+        filename: str | os.PathLike[str] | io.BytesIO,
         driver: str | None = None,
         schema: dict[str, Any] | None = None,
         index: bool | None = None,
         *,
+        # kwargs from `_to_file` function
         mode: Literal["w", "a"] = "w",
         crs: _ConvertibleToCRS | None = None,
         engine: Literal["fiona", "pyogrio"] | None = None,
+        metadata: dict[str, str] | None = None,
+        # kwargs extracted from engines
         layer: int | str | None = None,
         encoding: str | None = None,
-        overwrite: bool | Incomplete = ...,  # TODO can it be None? (accepted by fiona, not sure about pyogrio)
+        overwrite: bool | None = ...,
         **kwargs: Any,  # engine and driver dependent
     ) -> None: ...
     @overload
diff --git a/stubs/geopandas-stubs/geoseries.pyi b/stubs/geopandas-stubs/geoseries.pyi
index 3570242..8cc7c6f 100644
--- a/stubs/geopandas-stubs/geoseries.pyi
+++ b/stubs/geopandas-stubs/geoseries.pyi
@@ -1,6 +1,7 @@
+import io
 import json
 import os
-from _typeshed import Incomplete, SupportsRead, SupportsWrite, Unused
+from _typeshed import SupportsRead, Unused
 from collections.abc import Callable, Hashable
 from typing import Any, Literal, final, overload
 from typing_extensions import Self, deprecated
@@ -127,17 +128,20 @@ class GeoSeries(GeoPandasBase, pd.Series[BaseGeometry]):  # type: ignore[type-va
     # Keep method to_file roughly in line with GeoDataFrame.to_file
     def to_file(
         self,
-        filename: str | os.PathLike[str] | SupportsWrite[Any] | Incomplete,
+        filename: str | os.PathLike[str] | io.BytesIO,
         driver: str | None = None,
         index: bool | None = None,
         *,
+        # kwargs from `_to_file` function
         schema: dict[str, Any] | None = None,
         mode: Literal["w", "a"] = "w",
         crs: _ConvertibleToCRS | None = None,
         engine: Literal["fiona", "pyogrio"] | None = None,
+        metadata: dict[str, str] | None = None,
+        # kwargs extracted from engines
         layer: int | str | None = None,
         encoding: str | None = None,
-        overwrite: bool | Incomplete = ...,  # TODO can it be None? (accepted by fiona, not sure about pyogrio)
+        overwrite: bool | None = ...,
         **kwargs: Any,  # engine and driver dependent
     ) -> None: ...
     # *** TODO: compare `__getitem__` with pandas-stubs ***