NR PR fixes 1

Author: rustagir

source/data-formats/serialization.txt

@@ -351,7 +351,7 @@ After you add the library dependency, you can implement serializers from
 the ``kotlinx-datetime`` library that map your data class field values
 to the expected types in BSON.
 
-In the following example, the driver serializes the fields of
+In this example, the driver serializes the fields of
 the ``Appointment`` data class with the following behavior:
 
 - ``name``: The driver serializes the value as a string.
@@ -371,7 +371,7 @@ the ``Appointment`` data class with the following behavior:
    :dedent:
 
 The following example inserts an instance of the ``Appointment`` data
-class into MongoDB:
+class into the ``appointments`` collection:
 
 .. literalinclude:: /includes/data-formats/serialization.kt
    :language: kotlin
@@ -380,7 +380,7 @@ class into MongoDB:
    :dedent:
 
 In MongoDB, the ``LocalDate`` value is stored as a BSON date, and the
-``time`` field is stored  as a string by default serialization:
+``time`` field is stored as a string by default serialization:
 
 .. code-block:: json
 

source/indexes/atlas-search-index.txt

@@ -47,9 +47,11 @@ Search and Vector Search indexes:
 
 .. note::
 
-   The Atlas Search index management methods run asynchronously and might return before
-   confirming that they ran successfully. To determine the current status of the indexes,
-   call the ``listSearchIndexes()`` method.
+   The Atlas Search and Vector Search index management methods run
+   asynchronously and might return before confirming that they ran
+   successfully. To determine the current status of the indexes, call
+   the ``listSearchIndexes()`` method or view the indexes list in the
+   :atlas:`Atlas UI </atlas-ui/indexes/>`.
 
 The following sections provide code examples that demonstrate how to use
 each of the preceding methods.
@@ -72,7 +74,7 @@ The following code example shows how to create an Atlas Search index:
    :end-before: end-create-search-index
    :dedent:
 
-The following code example shows how to create Search and
+The following code example shows how to create Atlas Search and
 Vector Search indexes in one call:
 
 .. literalinclude:: /includes/indexes/indexes.kt