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Questions about modular forms and related areas
11
votes
0
answers
373
views
What are the possible bad reductions for an abelian variety of dimension $g$ and a maximal e...
Perhaps the most basic fact about abelian varieties with CM is they have an everywhere potential good reduction (Serre-Tate). On the face of it it might appear that there isn't much more to be added t …
1
vote
0
answers
181
views
A problem involving the converse of Ramanujan's theta operation
Let $A := \mathbb{C}[E_2;E_4,E_6]$ be the algebra of (almost) modular forms for $\mathrm{SL}_2(\mathbb{Z})$. (The weight $2$ Eisenstein series $E_2 := 1 - 24\sum_{n \geq 1} \sigma_1(n)q^n$ satisfies $ …
24
votes
Modular Forms - Eichler quote
My interpretation of the quote is different. (Granted, whether Eichler really said such a thing is a different question). It should refer to solving the algebraic equations, to the legacy of Abel and …