Why no var on fields?

In my recent request for things that make you go hmmm, a reader notes that you cannot use "var" on fields. Boy, would I ever like that. I write this code all the time:

private static readonly Dictionary<TokenKind, string> niceNames =
  new Dictionary<TokenKind, string>()
  {
    {TokenKind.Integer, "int"}, ...

Yuck. It would be much nicer to be able to write

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