2022/07/26 by Xuqiang Qin, Justin Sawon, Qin, Xuqiang +1
Mathematics · Physics and Astronomy · #14D20 #14E30 #14F08 #14J28 #14J42 #Advanced Algebra and Geometry #Advanced Differential Equations and Dynamical Systems #Algebraic Geometry (math.AG) #Black Holes and Theoretical Physics #FOS: Mathematics
paper · pdf · doi:10.48550/arxiv.2207.12608
openalex publication_date 2022/07/26 · openalex created_date 2022/07/28 · openalex updated_date 2026/07/28
Via wall-crossing, we study the birational geometry of Beauville-Mukai systems on K3 surfaces with Picard rank one. We show that there is a class of walls which are always present in the movable cones of Beauville-Mukai systems. We give a complete description of the birational geometry of rank two Beauville-Mukai systems when the genus of the surface is small.