Perhaps you're thinking of one of these possibilities:
* "The Region of Ice" is a short story within a collection. There are many collections of Joyce Carol Oates' short stories. If you remember the name of the collection, that would help narrow it down.
* You may be remembering a different title. Could it be "The Region of the Ice" (with a different spelling)? Or perhaps a different work altogether?
* You might have the author or title mixed up. While Oates has a large body of work, it's possible you're thinking of a different writer.
To help me find the work you're looking for, please provide more information:
* Do you remember anything else about the story, such as the characters, setting, or plot?
* Do you remember when you read it, or where you might have found it?
With more information, I can help you track down the story you're looking for!