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arXiv · 1406.3256

Severi's theorem for d-uple Veronese varieties

Jeroen Schillewaert·Koen Struyve
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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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Jeroen Schillewaert, Koen Struyve. 2014-06-12. Severi's theorem for d-uple Veronese varieties. https://arxiv.org/abs/1406.3256

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