2023/11/06 by Martina Juhnke‐Kubitzke, Juhnke-Kubitzke, Martina, Rosa M. Miró‐Roig +1
Computer Science · Mathematics · #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Commutative Algebra (math.AC) #Commutative Algebra and Its Applications #FOS: Mathematics #Polynomial and algebraic computation
paper · pdf · doi:10.48550/arxiv.2311.03081
openalex publication_date 2023/11/06 · openalex created_date 2023/11/08 · openalex updated_date 2026/07/28
The study of the Lefschetz properties of Artinian graded algebras was motivated by the hard Lefschetz theorem for a smooth complex projective variety, a breakthrough in algebraic topology and geometry. Over the last few years, this topic has attracted increasing attention from mathematicians in various areas. Here, we suggest some important open problems about or related to Lefschetz properties of Artinian graded algebras with the ultimate aim to attract the attention of young researchers from different areas.