Slopes of Siegel cusp forms and geometry of compactified Kuga varieties

Autor: Poon, Flora, Manni, Riccardo Salvati, Sankaran, Gregory
Rok vydání: 2021
Předmět:
Druh dokumentu: Working Paper
Popis: 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.
Databáze: arXiv