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Results tagged with modular-forms
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user 3384
Questions about modular forms and related areas
3
votes
Endomorphism algebras of abelian surfaces with real multiplication
I had forgotten that I had posted this question, but in the time since I was pointed by John Voight to the following paper of Bruin, Flynn, Gonzalez, and Rotger: https://www-ma2.upc.edu/vrotger/docs/B …
- 3,625
8
votes
1
answer
531
views
Endomorphism algebras of abelian surfaces with real multiplication
Given an abelian variety $A$ over a field $F$, one may consider the ring of endomorphisms $End(A)$, the ring of $F$-rational maps $A \to A$ respecting the group structure on $A$. We may also consider …
- 3,625
2
votes
Imaginary quadratic field contained in Hecke orbit field?
"No" for both questions about CM elliptic curves and "I'm not even sure I know what the question would be" about general Shimura varieties.
Basic idea: If $j$ is the $j$-invariant of a CM elliptic cu …
- 3,625
13
votes
Geometric meaning of fiber of modular parameterization over a point of an elliptic curve?
Thinking about $X_0(N)$ as a bunch of enhanced elliptic curves is a red herring as far as a description of the modular parametrization goes. For instance, you can obtain a similar "modular parametriza …
- 3,625