2019/11/21 by Mara Ungureanu, Ungureanu, Mara
Mathematics · Medicine · #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Commutative Algebra and Its Applications #FOS: Mathematics #Magnolia and Illicium research #Tensor decomposition and applications
paper · pdf · doi:10.48550/arxiv.1911.09457
openalex publication_date 2019/11/21 · openalex created_date 2022/07/26 · openalex updated_date 2026/07/28
The aim of this paper is to provide another perspective on secant varieties\non algebraic curves by reformulating the problem in terms of refined de\nJonqui `eres divisors, that is divisors on the curve with prescribed\nmultiplicities and dimensions of their spaces of global sections. We are able\nto both recover some already known results and to obtain some new statements\nconcerning the dimension theory of secant varieties. We do this via the study\nof the dimension theory of refined de Jonqui `eres divisors in some relevant\ncases and degeneration arguments.\n