Name
Abstract | ||
|---|---|---|
We describe a method to determine all the isomorphism classes of principal polarizations of the modular abelian surfaces A(f) with quaternionic multiplication attached to a normalized newform f without complex multiplication. We include an example of Af with quaternionic multiplication for which we find numerically a curve C whose Jacobian is A(f) up to numerical approximation, and we prove that it has quaternionic multiplication and is isogenous to A(f). |
Year | DOI | Venue |
|---|---|---|
2009 | 10.1090/S0025-5718-08-02165-0 | MATHEMATICS OF COMPUTATION |
Keywords | Field | DocType |
Genus two curves,quaternionic multiplication,modular abelian surfaces | Abelian group,Jacobian matrix and determinant,Algebra,Pure mathematics,Multiplication,Isomorphism,Numerical approximation,Modular design,Complex multiplication,Mathematics | Journal |
Volume | Issue | ISSN |
78 | 265 | 0025-5718 |
Citations | PageRank | References |
0 | 0.34 | 1 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Josep González | 1 | 17 | 4.49 |
| Jordi Guàrdia | 2 | 6 | 2.05 |