By default, we are able to display query results in our own page with the Search Core Results web part . Basically the search query can be built in two ways: UserQuery: to get a query from current user we need a Search Box or Advanced Search Box web part...
One of my colleagues found a very interesting thing in SharePoint:: It's forbidden to modify the inherited field's properties (for example AllowMultipleValues defined by SPFieldLookup class) via properties! Doing this you start a back process...