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Questions about modular forms and related areas

4 votes
3 answers
1k views

Companion forms

What is the best known result concerning the existence of companion forms for classical modular forms? Gross' tameness criterion paper is always mentioned with a "unchecked compatibility" caveat? Ar …
4 votes
1 answer
562 views

Explicitly computing D(V)^{psi=1} for (phi,Gamma)-modules

In the paper Construction of some families of 2-dimensional crystalline representations by Berger-Li-Zhu, a very explicit description is given for the $(\phi,\Gamma)$-module attached to some 2-dimensi …