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Severi's theorem for d-uple Veronese varieties
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classification
math.AG
keywords
projectiveseveritheoremveronesecharacterizecomplexd-upledimensional
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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