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 Yearling
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Apr
30
awarded  Yearling
Apr
24
reviewed Approve Volume of the subelliptic ball
Apr
24
reviewed Approve On number of perfect matchings
Mar
31
reviewed Reject pr.probability tag wiki
Mar
30
comment Elliptic curves and the $\ell$-adic image of the decomposition group
The image may be hard to compute, but the Lie algebra of the image is known. See the appendix to Serre's book "Abelian ell-adic representations and elliptic curves".
Mar
17
comment Does X(13) have potentially good reduction at 13?
@znt on a mac it actually works the same as with an ipad/iphone: press and hold a key and all the possible modifications of the letter will eventually be displayed for you to choose from
Feb
26
comment Which groups are Galois over some p-adic field?
See this MO question mathoverflow.net/questions/172569/local-inverse-galois-problem
Feb
17
answered Levelt-Turrittin Theorem over p-adics (or the monodromy theorem)
Feb
15
reviewed Approve Is it true that if $\operatorname{Ext}^{1}_{A}(P,A/I)=0 $ for all $ I$ then $P$ is projective?
Feb
11
comment Uniformizer for splitting field of p^{1/p^n} over p-adics
I am pretty sure that the answer is "no, it's too messy". If however somebody does have an answer, then we could use it to study the field of norms of the union of all those fields, and I'd be very interested in that.
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!