Structure theorems for the ring of modular forms and the ideal of cusp forms with respect to a congruence subgroup of the Siegel modular group related to the Theta gradient map in genus 2 are provided. A geometric construction involved is furthermore exploited to gain a different description for a notable generator appearing in a classic Igusa's sructure theorem for modular forms.100 page
A section K on a genus g canonical curve C is identified as the key tool to prove new results on the...
© 2013 Dr. Max FlanderIn a 1977 article, Katz uses algebraic-geometric techniques to define a linear...
The modular transformation behavior of theta series for indefinite quadratic forms is well understoo...
Structure theorems for the ring of modular forms and the ideal of cusp forms with respect to a congr...
We study vector-valued Siegel modular forms of genus 2 on the three level 2 groups Γ[2] ◁ Γ1[2] ◁ Γ0...
We develop two structure theorems for vector valued Siegel modular forms for Igusa’s subgroup Γ2 [2,...
The theta correspondence has been an important tool in the theory of automorphic forms with plentifu...
This thesis consists of two parts. Both parts are about the algebra of theta functions. The first pa...
AbstractWe find some modularity criterion for a product of Klein forms of the congruence subgroup Γ1...
AbstractIt is proved that the ring of Siegel modular forms in any genus is determined by doubly even...
Harmonic weak Maaß forms have recently been shown to have quite a few interesting arithmetic applica...
”Siegel modular forms”, as they are called today, were first introduced by Siegel in a paper of 1935...
We characterize Siegel cusp forms in the space of Siegel modular forms of large weight k > 2n on any...
These are the lecture notes of the lectures on Siegel modular forms at the Nordfjordeid Summer Schoo...
On the basis problem for Siegel modular forms of squarefree level by Siegfried B\"ocherer This ...
A section K on a genus g canonical curve C is identified as the key tool to prove new results on the...
© 2013 Dr. Max FlanderIn a 1977 article, Katz uses algebraic-geometric techniques to define a linear...
The modular transformation behavior of theta series for indefinite quadratic forms is well understoo...
Structure theorems for the ring of modular forms and the ideal of cusp forms with respect to a congr...
We study vector-valued Siegel modular forms of genus 2 on the three level 2 groups Γ[2] ◁ Γ1[2] ◁ Γ0...
We develop two structure theorems for vector valued Siegel modular forms for Igusa’s subgroup Γ2 [2,...
The theta correspondence has been an important tool in the theory of automorphic forms with plentifu...
This thesis consists of two parts. Both parts are about the algebra of theta functions. The first pa...
AbstractWe find some modularity criterion for a product of Klein forms of the congruence subgroup Γ1...
AbstractIt is proved that the ring of Siegel modular forms in any genus is determined by doubly even...
Harmonic weak Maaß forms have recently been shown to have quite a few interesting arithmetic applica...
”Siegel modular forms”, as they are called today, were first introduced by Siegel in a paper of 1935...
We characterize Siegel cusp forms in the space of Siegel modular forms of large weight k > 2n on any...
These are the lecture notes of the lectures on Siegel modular forms at the Nordfjordeid Summer Schoo...
On the basis problem for Siegel modular forms of squarefree level by Siegfried B\"ocherer This ...
A section K on a genus g canonical curve C is identified as the key tool to prove new results on the...
© 2013 Dr. Max FlanderIn a 1977 article, Katz uses algebraic-geometric techniques to define a linear...
The modular transformation behavior of theta series for indefinite quadratic forms is well understoo...