On the algebra of Siegel modular forms of genus $2$
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- by E. B. Vinberg
- Trans. Moscow Math. Soc. 2013, 1-13
- DOI: https://doi.org/10.1090/S0077-1554-2014-00217-X
- Published electronically: April 9, 2014
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Abstract:
Using the methods of our 2010 paper, we recover the old result of J. Igusa, saying that the algebra of even Siegel modular forms of genus $2$ is freely generated by forms of weights $4,6,10,12$. We also determine the structure of the algebra of all Siegel modular forms of genus $2$ and, in particular, interpret the supplementary generator of odd weight as the Jacobian of the generators of even weights.References
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Bibliographic Information
- E. B. Vinberg
- Affiliation: Department of Mechanics and Mathematics, Moscow State University, Moscow 119992, GSP–2, Russia
- Published electronically: April 9, 2014
- © Copyright 2014 American Mathematical Society
- Journal: Trans. Moscow Math. Soc. 2013, 1-13
- MSC (2010): Primary 05A10, 11A07, 11C20, 11R04, 11S15
- DOI: https://doi.org/10.1090/S0077-1554-2014-00217-X
- MathSciNet review: 3235787