3 citations · 7 across the 8 of their papers we have counts for
10 papers
Tautological modular forms of level two and degree two
Fabien Cléry, Gerard van der Geer
We show how to use divisors on the projectivized Hodge bundle to construct special vector-valued modular forms and then apply invariant theory to construct all vector-valued Siegel…
Dimension formulas for spaces of vector-valued Siegel modular forms of degree two and level two
Jonas Bergström, Fabien Cléry
Using a description of the cohomology of local systems on the moduli space of abelian surfaces with a full level two structure, together with a computation of Euler characteristics…
Modular forms via invariant theory
Fabien Cléry, Gerard van der Geer
We discuss two simple but useful observations that allow the construction of modular forms from given ones using invariant theory. The first one deals with elliptic modular forms a…
Generating Picard modular forms by means of invariant theory
Fabien Cléry, Gerard van der Geer
We use the description of the Picard modular surface for discriminant as a moduli space of curves of genus to generate all vector-valued Picard modular forms from bi-covar…
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…
Constructing vector-valued Siegel modular forms from scalar-valued Siegel modular forms
Fabien Cléry, Gerard van der Geer
This paper gives a simple method for constructing vector-valued Siegel modular forms from scalar-valued ones. The method is efficient in producing the siblings of Delta, the smalle…
Siegel modular forms of genus 2 and level 2
Fabien Cléry, Gerard van der Geer, Samuel Grushevsky
We study vector-valued Siegel modular forms of genus 2 and level 2. We describe the structure of certain modules of vector-valued modular forms over rings of scalar-valued modular…