2024/11/22 by Pieter Belmans, Belmans, Pieter, Andreas Demleitner +3 · 1 citation
Mathematics · #Advanced Algebra and Geometry #Advanced Mathematical Identities #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics
paper · pdf · doi:10.48550/arxiv.2411.14814
openalex publication_date 2024/11/22 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We explicitly describe the Albanese morphism of a hyperelliptic variety, i.e., the quotient X of an abelian variety A by a finite group G acting freely and not only by translations, by giving a description of the Albanese variety and the Albanese fibers in terms of A and G. In particular, the fibers are themselves abelian or hyperelliptic varieties, and we investigate which can occur in explicit examples. As an application we show that the derived category of X is indecomposable in certain cases.