Differential modular forms,Elliptic curves and Ramanujan foliation
| dc.creator | Movasati, Hossein | |
| dc.date | 2005-06-06 | |
| dc.date.accessioned | 2026-07-07T05:20:34Z | |
| dc.date.available | 2026-07-07T05:20:34Z | |
| dc.description | In this article we define the algebra of differential modular forms and we prove that it is generated by Eisenstein series of weight $2,4$ and 6. We define Hecke operators on them, find some analytic relations between these Eisenstein series and obtain them in a natural way as coefficients of a family of elliptic curves. Then we describe the relation between the dynamics of a foliation in $\C^3$ induced by the Ramanujan relations, with vanishing of elliptic integrals. The fact that a complex manifold over the Moduli of Polarized Hodge Structures in the case $h^{10}=h^{01}=1$ has an algebraic structure with an action of an algebraic group plays a basic role in all of the proofs. | |
| dc.identifier | https://arxiv.org/abs/math/0506106 | |
| dc.identifier | http://arxiv.org/abs/math/0506106 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/75422 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 14 | |
| dc.title | Differential modular forms,Elliptic curves and Ramanujan foliation | |
| dc.type | text |