Severi's theorem for d-uple Veronese varieties
  We characterize $d$-uple Veronese embeddings of finite-dimensional projective spaces. The easiest non-trivial instance of our theorem is the embedding of the projective plane in 5-dimensional projective space, a result obtained in 1901 by Severi when the underlying field is complex. 
Jeroen Schillewaert and Koen Struyve
math.AG