Work

Slopes of Siegel cusp forms and geometry of compactified Kuga varieties

Year: 2025

Type: article

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.

Source: Algebraic geometry

DOI: 10.14231/ag-2025-024

Authors: Flora Poon, Riccardo Salvati Manni, Gregory Sankaran

Language: English

Topic: Algebraic Geometry and Number Theory

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W3200043759

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Cites: 17

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Related to: 20