Explicit reduction theory for Siegel modular threefolds

DOI10.1007/BF01231300zbMath0789.11029MaRDI QIDQ1802546

Mark McConnell, Robert MacPherson

Publication date: 17 June 1993

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/144090

zbMATH Keywords

Siegel modular groupVoronoi cellsVoronoi's reduction theoryanalytic Whitney-stratificationcell decomposition of modular varietiesPoincaré dual decompositionSatake partial compactification

Mathematics Subject Classification ID

Hermitian symmetric spaces, bounded symmetric domains, Jordan algebras (complex-analytic aspects) (32M15) Siegel modular groups; Siegel and Hilbert-Siegel modular and automorphic forms (11F46) (3)-folds (14J30) Quadratic forms (reduction theory, extreme forms, etc.) (11H55)

Related Items (12)

Computing Heeke Eigenvalues Below the Cohomologieal Dimension ⋮ Cohomology at infinity and the well-rounded retract for general linear groups ⋮ On the difficulty of finding spines ⋮ On the integral homology of \(\text{PSL}_4(\mathbb Z)\) and other arithmetic groups ⋮ The Siegel modular variety of degree two and level three ⋮ The Steinberg module and the cohomology of arithmetic groups ⋮ The Farrell-Tate and Bredon homology for \(\operatorname{PSL}_4(\mathbb{Z})\) via cell subdivisions ⋮ Symplectic modular symbols ⋮ An explicit spine for the Picard modular group over the Gaussian integers ⋮ Zero Cells of the Siegel–Gottschling Fundamental Domain of Degree 2 ⋮ Lectures on Computing Cohomology of Arithmetic Groups ⋮ Classical projective geometry and arithmetic groups

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