The Siegel modular variety of degree two and level three

DOI10.1090/S0002-9947-00-02675-1zbMath0996.11041OpenAlexW4212894649MaRDI QIDQ2716139

Steven H. Weintraub, Jerome William Hoffman

Publication date: 6 June 2001

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9947-00-02675-1

zbMATH Keywords

zeta functionsSiegel modular varietiestoroidal compactifications

Mathematics Subject Classification ID

Siegel modular groups; Siegel and Hilbert-Siegel modular and automorphic forms (11F46) (3)-folds (14J30) Modular and Shimura varieties (14G35) Cohomology of arithmetic groups (11F75)

Related Items (5)

Descent via (3,3)-isogeny on Jacobians of genus 2 curves ⋮ The intersection cohomology of the Satake compactification of \(\mathcal {A}_g\) for \(g \leq 4\) ⋮ A tubular variant of Runge's method in all dimensions, with applications to integral points on Siegel modular varieties ⋮ The defect of Fano $3$-folds ⋮ Rationality of twists of the Siegel modular variety of genus 2 and level 3

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On the Burkhardt quartic
• Über die Fundamentalgruppen Siegelscher Modulvarietäten vom Grade 2. (On the fundamental groups of Siegel modular varieties of degree 2.)
• Cohomology of \(\mathrm{Sp}_ 4(\mathbb Z)\) and related groups and spaces
• Mixed Hodge structures and automorphic forms for Siegel modular varieties of degree two
• Induced cuspidal representations and generalised Hecke rings
• Toroidal compactification of Siegel spaces
• On the \(L^ 2\) cohomology of complex spaces
• Note on abelian schemes of level three
• Moduli spaces of abelian surfaces: compactification, degenerations, and theta functions
• Janus-like algebraic varieties
• Explicit reduction theory for Siegel modular threefolds
• Fundamental group of locally symmetric varieties
• Corners and arithmetic groups (Appendice: Arrondissement des varietes a coins par A. Douady et L. Herault)
• A desingularization problem in the theory of Siegel modular functions
• Compactification of arithmetic quotients of bounded symmetric domains
• On elliptic modular surfaces
• The geometry of some special arithmetic quotients
• L ₂ -cohomology of arithmetic varieties
• Differentialformen zu Untergruppen der Siegelschen Modulgruppe zweiten Grades.
• Points on Some Shimura Varieties Over Finite Fields
• The Picard group of Siegel modular threefolds.
• Stable real cohomology of arithmetic groups
• On Siegel Modular Forms of Degree Two
• Cohomology of the boundary of Siegel modular varieties of degree two, with applications
• Intersection Homology Betti Numbers
• The Characters of the Finite Symplectic Group Sp(4,q)
• A Gauss-Bonnet formula for discrete arithmetically defined groups
• Some Elementary Examples of Unirational Varieties Which are Not Rational
• Invariants of branched covering from the work of Serre and Mumford
• Symplectic Geometry

This page was built for publication: The Siegel modular variety of degree two and level three