None

Jan Hendrik Bruinier

Type: Article

Publication Date: 2002-01-01

Citations: 34

DOI: https://doi.org/10.1023/a:1016357029843

Abstract

We derive lower bounds for the rank of Picard groups of modular varieties associated with natural congruence subgroups of the orthogonal group of an even lattice of signature (2, l). As an example we consider the Siegel modular group of genus 2. The analytic part of this paper also leads to certain class number identities.

Locations

Compositio Mathematica - View - PDF

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Works Cited by This (19)

Action	Title	Year	Authors
+	Differentialformen zu Untergruppen der Siegelschen Modulgruppe zweiten Grades.	1988	Rainer Weissauer
+	On certain siegel modular varieties of genus two and levels above two	1988	Ronnie Lee Steven H. Weintraub
+ PDF Chat	An Approach to the Selberg Trace Formula via the Selberg Zeta-Function	1987	Jürgen Fischer
+	The Theory of Jacobi Forms	1985	Martin Eichler Don Zagier
+	The Picard group of Siegel modular threefolds.	1992	Rainer Weissauer
+	On the Geometry and Arithmetic of Some Siegel Modular Threefolds	1995	B. Vangeemen Niels O. Nygaard
+	Cohomology of Sp4(Z) and related groups and spaces	1985	Ronnie Lee Steven H. Weintraub
+ PDF Chat	Reflection groups of Lorentzian lattices	2000	Richard E. Borcherds
+	Borcherds products and Chern classes of Hirzebruch-Zagier divisors	1999	Jan Hendrik Bruinier
+ PDF Chat	The Gross-Kohnen-Zagier theorem in higher dimensions	1999	Richard E. Borcherds