Abstract
We determine the structure of the ring of Siegel modular forms of degree 2 in characteristic 3.
Highlights
Let Ag be the moduli space of principally polarized abelian varieties of dimension g
The vector bundle Eg extends in a natural way over any compactification Ag of Faltings-Chai type and we will denote the extension of Eg and L again by the same symbols
For g = 2, Igusa determined in [13] the ring of modular forms over Z; it is generated by elements of weight
Summary
Let Ag be the moduli space of principally polarized abelian varieties of dimension g. For g = 2, Igusa determined in [13] the ring of modular forms over Z; it is generated by elements of weight For p ≥ 5 the ring is just as in characteristic zero generated by modular forms ψ4, ψ6, χ10, χ12 and χ35 with χ35 satisfying a relation χ325 = P(ψ4, ψ6, χ10, χ12).
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