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Slopes of Siegel cusp forms and geometry of compactified Kuga varieties
- Publication Year :
- 2021
-
Abstract
- 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.
- Subjects :
- Mathematics - Algebraic Geometry
14K10 (Primary), 11F46
Subjects
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.2109.06142
- Document Type :
- Working Paper