4 papers
Modular forms of degree two and curves of genus two in characteristic two
Fabien Cléry, Gerard van der Geer
We describe the ring of modular forms of degree 2 in characteristic 2 using its relation with curves of genus 2.
Concomitants of Ternary Quartics and Vector-valued Siegel and Teichmüller Modular Forms of Genus Three
Fabien Cléry, Carel Faber, Gerard van der Geer
We show how one can use the representation theory of ternary quartics to construct all vector-valued Siegel modular forms and Teichmüller modular forms of degree 3. The relation be…
Dispersionless Hirota equations and the genus 3 hyperelliptic divisor
Fabien Cléry, Evgeny V. Ferapontov
Equations of dispersionless Hirota type have been thoroughly investigated in the mathematical physics and differential geometry literature. It is known that the parameter space of…
On vector-valued Siegel modular forms of degree 2 and weight (j,2)
Fabien Cléry, Gerard van der Geer
We formulate a conjecture that describes the vector-valued Siegel modular forms of degree 2 and level 2 of weight Sym^j det^2 and provide some evidence for it. We construct such mo…