Projections of Grassmannians of lines and characterization of Veronese varieties

1997/03/24 by Enrique Arrondo, Arrondo, Enrique
Mathematics · Medicine · #Advanced Combinatorial Mathematics #Algebraic Geometry (math.AG) #FOS: Mathematics #Phytoestrogen effects and research #Tensor decomposition and applications

paper · pdf · doi:10.48550/arxiv.alg-geom/9703032

openalex publication_date 1997/03/24 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We characterize the double Veronese embedding of Pⁿ as the only variety that, under certain general conditions, can be isomorphically projected from the Grassmannian of lines in P²ⁿ⁺¹ to the Grassmannian of lines in Pⁿ⁺¹.

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