Apply suggestions from code review

Co-authored-by: Mike Kistler <mikekistler@microsoft.com>
Co-authored-by: Stephen Toub <stoub@microsoft.com>

Author: 3 people

docs/concepts/pagination/pagination.md

@@ -96,3 +96,6 @@ builder.Services.AddMcpServer()
 
 > [!NOTE]
 > The cursor format is opaque to the client. Servers can use any encoding scheme (numeric offsets, encoded tokens, database cursors, etc.) as long as they can parse their own cursors on subsequent requests.
+
+> [!NOTE]
+> Because the cursor format is opaque to the client, _any_ value specified in the cursor, including the empty string, signals that more results are available. If an MCP server erroneously sends an empty string cursor with the final page of results, clients can implement their own low-level pagination scheme to work around this case.

docs/concepts/prompts/prompts.md

@@ -50,14 +50,10 @@ public class CodePrompts
     [McpServerPrompt, Description("Generates a code review prompt")]
     public static IEnumerable<ChatMessage> CodeReview(
         [Description("The programming language")] string language,
-        [Description("The code to review")] string code)
-    {
-        return
+        [Description("The code to review")] string code) =>
         [
-            new ChatMessage(ChatRole.User,
-                $"Please review the following {language} code:\n\n```{language}\n{code}\n```"),
-            new ChatMessage(ChatRole.Assistant,
-                "I'll review the code for correctness, style, and potential improvements.")
+            new(ChatRole.User, $"Please review the following {language} code:\n\n```{language}\n{code}\n```"),
+            new(ChatRole.Assistant, "I'll review the code for correctness, style, and potential improvements.")
         ];
     }
 }

docs/concepts/resources/resources.md

@@ -215,7 +215,7 @@ builder.Services.AddMcpServer()
         if (ctx.Params?.Uri is { } uri)
         {
             // Track the subscription (e.g., in a concurrent dictionary)
-            subscriptions.TryAdd(uri, ctx.Server.SessionId);
+            subscriptions[context.Server.SessionId].TryAdd(uri, 0);
         }
         return new EmptyResult();
     })

docs/concepts/transports/transports.md

@@ -13,7 +13,7 @@ MCP uses a [transport layer] to handle the communication between clients and ser
 
 ### stdio transport
 
-The stdio transport communicates over standard input and output streams. It is best suited for local integrations where the MCP server runs as a child process of the client.
+The stdio transport communicates over standard input and output streams. It is best suited for local integrations, as the MCP server runs as a child process of the client.
 
 #### stdio client