Siegel modular forms of genus 2 and level 2

DOI10.1142/S0129167X15500342zbMath1344.14019arXiv1306.6018MaRDI QIDQ5252623

Gerard van der Geer, Fabien Cléry, Samuel Grushevsky

Publication date: 2 June 2015

Published in: International Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1306.6018

zbMATH Keywords

Siegel modular formtheta seriesvector-valued modular formmodular forms of level 2

Mathematics Subject Classification ID

Siegel modular groups; Siegel and Hilbert-Siegel modular and automorphic forms (11F46) Modular and Shimura varieties (14G35) Moduli, classification: analytic theory; relations with modular forms (14J15) Cohomology of arithmetic groups (11F75)

Related Items (9)

On isomorphisms between Siegel modular threefolds ⋮ Covariants of binary sextics and vector-valued Siegel modular forms of genus two ⋮ Basic vector valued Siegel modular forms of genus two ⋮ Siegel Eisenstein series of level two and its applications ⋮ Covariants of binary sextics and modular forms of degree 2 with character ⋮ Vector-valued modular forms on a three-dimensional ball ⋮ Lost chapters in CHL black holes: untwisted quarter-BPS dyons in the \(\mathbb{Z}_2\) model ⋮ On vector-valued Siegel modular forms of degree 2 and weight \((j,2)\) ⋮ A generalization of Jacobi's derivative formula to dimension two, II

Cites Work

• Graded syzygies
• Dimension formulas for spaces of vector-valued Siegel cusp forms of degree two
• Rank one Eisenstein cohomology of local systems on the moduli space of abelian varieties
• Two generalizations of Jacobi's derivative formula
• On certain vector valued Siegel modular forms of degree two
• On the cohomology of local systems on the moduli spaces of curves of genus 2 and of Abelian surfaces. II.
• Siegel modular forms of degree three and the cohomology of local systems
• Generators for modules of vector-valued Picard modular forms
• On the Ring of Modular Forms of Degree Two Over Z
• On Jacobi's Derivative Formula and its Generalizations
• Modular Varieties with Level 2 Theta Structure
• SIMPLE GRADED RINGS OF SIEGEL MODULAR FORMS, DIFFERENTIAL OPERATORS AND BORCHERDS PRODUCTS

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