2024/05/22 by F. Rizzo, Rizzo, Francesca
Engineering · Physics and Astronomy · #14J10 #14J42 #Advanced Antenna and Metasurface Technologies #Algebraic Geometry (math.AG) #FOS: Mathematics #Nonlinear Photonic Systems #Semiconductor Lasers and Optical Devices
paper · pdf · doi:10.48550/arxiv.2405.13472
openalex publication_date 2024/05/22 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/04
EPW cubes form a locally complete family of smooth projective hyper-Kähler varieties of dimension 6, constructed by Iliev--Kapustka--Kapustka--Ranestad. Their construction and behavior share a lot of similarities with the double EPW sextics constructed by O'Grady. Adapting the methods of O'Grady, we construct a projective smooth small resolution of singular EPW cubes.