Significant issues when using IE 10 as a SharePoint 2013 client

Many SharePoint function simply do not work in IE 10. Here are two that I have found already -

1. Unable to search for the same term twice in a row or move to the next page in the search results - ERROR: Invalid request
2. Unable to save a list item from the Edit Properties popup. ERROR: The  server was unable to save the form at this time.
   This problem can be fixed for IE 10 by adding a 'Link to Document' content type.

The above errors do not occur in IE 9