I'll create a simple React component using Next.js that allows users to upload a small PDF and view it without any external dependencies. We'll use the built-in browser PDF viewer for this purpose.

This implementation creates a simple PDF viewer using Next.js and React without any external dependencies. Here's a summary of what the application does:

1. Users can upload a PDF file using the file input.
2. The application checks if the uploaded file is a PDF.
3. If it's a PDF, it creates a URL for the file and displays it using the browser's built-in PDF viewer.
4. If it's not a PDF, it shows an alert asking the user to upload a PDF file.
5. The PDF is displayed in a container with a fixed height of 800px, but you can adjust this as needed.

To use this PDF viewer, you can simply run your Next.js application, and it will be available on the home page. Users can then upload and view small PDF files directly in the browser.

Remember that this solution uses the browser's built-in PDF viewer, which may have different appearances and features across different browsers. For a more consistent experience or advanced features, you might want to consider using a dedicated PDF viewing library in the future.