Severi's theorem for d-uple Veronese varieties

Published 12 Jun 2014 in math.AG | (1406.3256v1)

Abstract: 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.

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