Slopes of Siegel cusp forms and geometry of compactified Kuga varieties
We study the Kodaira dimension of the compactified n-fold Kuga variety over the moduli space of principally polarised abelian g-folds.We construct a suitable compactification, which we call a Namikawa compactification, and show that in most cases it has canonical singularities.We then use results about the slope of Siegel modular forms to determine the Kodaira dimension for all g > 1 and n > 0.
Authors
- Riccardo Salvati Manni (ORCID: https://orcid.org/0000-0001-7467-2625)
- G. K. Sankaran (ORCID: https://orcid.org/0000-0002-5846-6490)
- Flora Poon (ORCID: https://orcid.org/0009-0005-0343-6920)
Publication Details
- Journal
- Algebraic geometry
- Published
- 2025-10-24
- DOI
- https://doi.org/10.14231/ag-2025-024
- Primary Topic
- Algebraic Geometry and Number Theory
- Type
- article
- Field-Weighted Citation Impact
- 0.00