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 Yearling
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Feb
7
comment When does the radius of convergence of the product of two $p$-adic power series increase?
Have you looked at "Rank one solvable p-adic differential equations and finite Abelian characters via Lubin–Tate groups" by Andrea Pulita? The abstract starts with "We introduce a new class of exponentials of Artin–Hasse type, called π-exponentials".
Feb
2
answered Examples of p-adic representations
Jan
27
comment Hodge-Tate representations
A simpler example would be a non-trivial extension of $Q_p$ by $Q_p(-1)$.
Apr
30
awarded  Yearling
Apr
20
revised Hodge-Tate weights of induced representation
added 154 characters in body
Apr
20
answered Hodge-Tate weights of induced representation
Apr
8
awarded  Popular Question
Apr
8
comment Algebraic integer with conjugates on the unit circle
The same is true of $\alpha^k$ and the characteristic polynomials of the $\alpha^k$ have coeffts that are bounded indept of $k$. A lot of them must be equal to each other, so $\alpha^k = \alpha^\ell$ for some $k$ and $\ell$.
Apr
8
answered examples of non-unique factorisation in cyclotomic fields
Mar
1
comment Can an abelian variety/Q have no non-trivial points over Q_sol?
@Pablo sorry, my mistake!
Mar
1
comment Can an abelian variety/Q have no non-trivial points over Q_sol?
By definition, an abelian variety over a field K has a rational point over K, so in your question, you presumably mean a homogenous space for your abelian variety.
Jan
27
comment Number of common solutions of polynomial system
See for instance the introduction to arxiv.org/abs/1408.3224
Jan
27
answered integral p-adic Hodge theory and de Rham representations
Sep
5
revised Openness of finite index subgroups of $\mathrm{GL}_n(\prod O_v)$
added 59 characters in body
Sep
5
answered Openness of finite index subgroups of $\mathrm{GL}_n(\prod O_v)$
Aug
26
awarded  Enlightened
Aug
6
awarded  Custodian
Aug
6
reviewed Reject nontrivial theorems with trivial proofs
Jul
26
comment Linear map with two “incompatible” representations
Very nice, thank you!
Jul
26
accepted Linear map with two “incompatible” representations