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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! |