Mixed Hodge structures and automorphic forms for Siegel modular varieties of degree two
From MaRDI portal
Publication:1123921
DOI10.1007/BF01453584zbMath0678.10022MaRDI QIDQ1123921
Joachim Schwermer, Takayuki Oda
Publication date: 1990
Published in: Mathematische Annalen (Search for Journal in Brave)
Full work available at URL: https://eudml.org/doc/164646
Theta series; Weil representation; theta correspondences (11F27) Special values of automorphic (L)-series, periods of automorphic forms, cohomology, modular symbols (11F67) (Co)homology theory in algebraic geometry (14F99)
Related Items
Unnamed Item, \(L\)-functions of \(S_3 (\varGamma _{2}(2,4,8))\), The Siegel modular variety of degree two and level three, Algebraic cycles on genus-2 modular fourfolds, On mixed Hodge structures of Shimura varieties attached to inner forms of the symplectic group of degree two, The residual Eisenstein cohomology of $Sp_{4}$ over a totally real number field, A construction of residues of Eisenstein series and related square-integrable classes in the cohomology of arithmetic groups of low \(k\)-rank, \(p\)-adic \(L\)-functions for \(\text{GL}(2n)\), Boundary cohomology of Shimura varieties. II: Hodge theory at the boundary
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Some examples of automorphic forms on Sp4
- A remark on my paper On the Saito-Kurokawa lifting
- Automorphic forms of \({\bar \partial}\)-cohomology type as coherent cohomology classes
- On the Saito-Kurokawa lifting
- Satake compactifications
- On liftings and cusp cohomology of arithmetic groups
- On limit multiplicities of discrete series representations in spaces of automorphic forms
- Cohomology of \(\mathrm{Sp}_ 4(\mathbb Z)\) and related groups and spaces
- Thetareihen mit harmonischen Koeffizienten zur Siegelschen Modulgruppe
- Holomorphe Differentialformen zu Kongruenzgruppen der Siegelschen Modulgruppe zweiten Grades
- On the Segal-Shale-Weil representations and harmonic polynomials
- 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
- Automorphic forms on semisimple Lie groups. Notes by J. G. M. Mars.
- Discrete series for semisimple Lie groups. II: Explicit determination of the characters
- Sur certains groupes d'opérateurs unitaires
- Théorie de Hodge. II. (Hodge theory. II)
- On elliptic modular surfaces
- On Eichler's trace formula
- The CAP representations of GSp (4,).
- Satake's Compactification of V n
- Laplacian and the Discrete Spectrum of an Arithmetic Group
- Cohomology of arithmetic subgroups of SL3 at infinity.
- On Siegel Modular Forms of Degree Two
- The Characters of the Finite Symplectic Group Sp(4,q)