I want to write a book without putting my name on it. Is this possible?
When finished writing a book, click "Done" and leave it as a Book and Quill. You may want to rename it in an anvil to give it a title.
This allows anyone else who gets the book to edit or sign it themselves.
If you wish to avoid this, and you have access to the world file, you can press "Sign" on the book GUI and then locate and change the author name of the book with an NBT editor: