2013/09/24 by Yi Hu, Hu, Yi, Yijun Shao +1
Mathematics · #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Tensor decomposition and applications #math.AG
paper · pdf · doi:10.48550/arxiv.1309.6028
34 pages
arxiv created 2013/09/24 · openalex publication_date 2013/09/24 · arxiv updated 2013/09/25 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We introduce complete quotients over the projective line and prove that they form smooth projective varieties. The resulting parameter spaces coincide with the varieties constructed in [HLS11] and [Shao11]. Hence they provide modular smooth compactifications with normal crossing boundaries of the spaces of algebraic maps from the projective line to Grassmannian varieties.