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Questions about modular forms and related areas
3
votes
Accepted
Proving the Eichler-Shimura Isomorphism defines a global section
What exactly is a global section of $\Omega^1 \otimes V^{k-2}$ on $Y_\Gamma$? First consider $\Omega^1 \otimes V^{k-2}$ as a sheaf on $\mathbb{H}$. This sheaf is naturally endowed with a $\Gamma$ ac …
1
vote
Group cohomology with compact support
This response is a little late, but I have thought about the same
question recently. I don't think there is a way to define
cohomology with compact support in a purely group theoretic way.
The proble …
5
votes
2
answers
369
views
Examples of component crossing between families of modular forms
Is there a reference that contains explicit examples of component crossing of Hida families at height one primes? The paper of Emerton, Pollack, and Weston addresses component crossing obtained throu …