Severi's theorem for d-uple Veronese varieties
Algebraic Geometry
2014-06-13 v1
Abstract
We characterize -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.
Cite
@article{arxiv.1406.3256,
title = {Severi's theorem for d-uple Veronese varieties},
author = {Jeroen Schillewaert and Koen Struyve},
journal= {arXiv preprint arXiv:1406.3256},
year = {2014}
}