Unipotent group action on a projective variety

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It is known that the orbits of a unipotent algebraic group in an affine variety are closed copies of the affine space.



My question is about algebraic unipotent group orbits in the projective variety. Are they also closed or (and) copies of an affine space?







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    up vote
    1
    down vote

    favorite












    It is known that the orbits of a unipotent algebraic group in an affine variety are closed copies of the affine space.



    My question is about algebraic unipotent group orbits in the projective variety. Are they also closed or (and) copies of an affine space?







    share|cite|improve this question






















      up vote
      1
      down vote

      favorite









      up vote
      1
      down vote

      favorite











      It is known that the orbits of a unipotent algebraic group in an affine variety are closed copies of the affine space.



      My question is about algebraic unipotent group orbits in the projective variety. Are they also closed or (and) copies of an affine space?







      share|cite|improve this question












      It is known that the orbits of a unipotent algebraic group in an affine variety are closed copies of the affine space.



      My question is about algebraic unipotent group orbits in the projective variety. Are they also closed or (and) copies of an affine space?









      share|cite|improve this question











      share|cite|improve this question




      share|cite|improve this question










      asked Aug 19 at 8:14









      Ronald

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