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At the moment I am reading Joe Harris' book on algebraic geometry. I am stuck at two points: 1.) The Gauss Map is a regular map 2.) The Gauss Map of a hypersurface is quasi-finite.

Both statements can be found on page 188. I have unsuccesfully tried to prove them. For 2 I also tried some examples, but couldn't see any general pattern. Any help is very much appreciated. Thanks a lot!!

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