Siegel Modular Forms of Degree Two and Three and Invariant Theory
DOI10.1007/978-3-031-11938-5_9zbMath1530.11047arXiv2102.02245OpenAlexW3126766102MaRDI QIDQ6151351
Publication date: 11 February 2024
Published in: Trends in Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2102.02245
Research exposition (monographs, survey articles) pertaining to number theory (11-02) Siegel modular groups; Siegel and Hilbert-Siegel modular and automorphic forms (11F46) Actions of groups on commutative rings; invariant theory (13A50) Algebraic moduli of abelian varieties, classification (14K10) Modular and Shimura varieties (14G35) Moduli, classification: analytic theory; relations with modular forms (14J15)
Cites Work
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- Constructing vector-valued Siegel modular forms from scalar-valued Siegel modular forms
- Concomitants of ternary quartics and vector-valued Siegel and Teichmüller modular forms of genus three
- The structure of the Prym map
- Siegel modular forms of degree 2 over rings
- An explicit dimension formula for the spaces of generalized automorphic forms with respect to \(\mathrm{Sp}(2, \mathbb Z)\)
- On the projective invariants of quartic plane curves
- On Teichmüller modular forms
- Covariants of binary sextics and vector-valued Siegel modular forms of genus two
- On vector-valued Siegel modular forms of degree 2 and weight \((j,2)\)
- Classification of algebraic varieties and compact complex manifolds
- The ring of modular forms of degree two in characteristic three
- Cohomology of local systems on the moduli of principally polarized abelian surfaces
- On mod \(p\) properties of Siegel modular forms
- Note on \(\operatorname{mod} p\) Siegel modular forms. II
- Arithmetic variety of moduli for genus two
- Dimensions of spaces of level one automorphic forms for split classical groups using the trace formula
- Courbes elliptiques: Formulaire
- On the Ring of Modular Forms of Degree Two Over Z
- On Siegel Modular Forms of Degree Three
- Teichmuller Modular Forms of Degree 3
- Cycle Classes of the E-O Stratification on the Moduli of Abelian Varieties
- Cycles on the Moduli Space of Abelian Varieties
- Modular Forms of Degree 2 and Curves of Genus 2 in Characteristic 2
- Covariants of binary sextics and modular forms of degree 2 with character
- Modular Forms and Projective Invariants
- On the Graded Ring of Invariants of Binary Octavics
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