Question

$p$-adic Algebraic Number Fields: Their Primes and Units

score 113 · Answer 1 · 2026-02-23 17:23:29

113

Views

$p$-adic Algebraic Number Fields: Their Primes and Units

Published on 23 Feb 2026 - 17:23

score 202 · Answer 2 · 2022-12-10 21:09:18

202

Views

Why, intuitively, `i` exists on 5-adics, but not on 2-adics?

Published on 10 Dec 2022 - 21:09

score 58 · Answer 3 · 2022-12-13 14:06:08

58

Views

What's a p-adic representative map?

Published on 13 Dec 2022 - 14:06

score 48 · Answer 4 · 2026-03-30 07:56:40

48

Views

What is the meaning of copies of $ \Bbb{Q}_p/ \Bbb{Z}_p$ which can occur in the Tate-Shafarevich group of elliptic curve $E$

Published on 30 Mar 2026 - 7:56

score 127 · Answer 5 · 2022-12-15 11:43:52

127

Views

Geometric picture of $\mathbb{Q}_p$

Published on 15 Dec 2022 - 11:43

score 78 · Answer 6 · 2026-03-26 21:27:05

78

Views

Does the vanishing of $\mathrm{Ext}^i_G(\rho,\pi)$ for every irreducible $\pi$ implies the same vanishing for more general representations $\pi$?

Published on 26 Mar 2026 - 21:27

score 172 · Answer 7 · 2026-03-27 13:03:24

172

Views

Is a product of infinite subsets of $\Bbb C_p$ Zariski dense in $\Bbb C_p^2$?

Published on 27 Mar 2026 - 13:03

score 102 · Answer 8 · 2026-03-28 02:22:52

102

Views

Injectivity of $\mathbb{Q}_{p}$ and $\mathbb{Z}(p^{\infty})$

Published on 28 Mar 2026 - 2:22

score 56 · Answer 9 · 2026-03-25 06:02:30

56

Views

Coinvariants of rigid meromorphic function (on the p-adic upper half-plane)

Published on 25 Mar 2026 - 6:02

score 110 · Answer 10 · 2026-04-04 16:20:36

110

Views

Are there explicit formulas for traces and norms of $p$-adic fields with given ramification index?

Published on 04 Apr 2026 - 16:20

score 40 · Answer 11 · 2022-12-29 10:47:54

40

Views

Prove that $\mathbb{Z}_p$ is isomorphic to $End(\mathbb{Z}_p)$

Published on 29 Dec 2022 - 10:47

score 93 · Answer 12 · 2026-03-27 01:47:53

93

Views

For a finite extension $K/\mathbb{Q}_2$, the extension $K(\sqrt{-1})/K$ is always totally ramified

Published on 27 Mar 2026 - 1:47

score 93 · Answer 13 · 2022-12-31 18:09:46

93

Views

What is the relationship between the field fixed by the decomposition group and the embeddings in the p-adic numbers?

Published on 31 Dec 2022 - 18:09

score 281 · Answer 14 · 2026-03-29 10:55:33

281

Views

Prime elements and $p$-adic completions

Published on 29 Mar 2026 - 10:55

score 380 · Answer 15 · 2023-01-04 01:14:55

380

Views

How do I differentiate between $\sqrt{5}$ and $-\sqrt{5}$ in the $11$-adics - and should I even try to?

Published on 04 Jan 2023 - 1:14

List Question

$p$-adic Algebraic Number Fields: Their Primes and Units

Why, intuitively, `i` exists on 5-adics, but not on 2-adics?

What's a p-adic representative map?

What is the meaning of copies of $ \Bbb{Q}_p/ \Bbb{Z}_p$ which can occur in the Tate-Shafarevich group of elliptic curve $E$

Geometric picture of $\mathbb{Q}_p$

Does the vanishing of $\mathrm{Ext}^i_G(\rho,\pi)$ for every irreducible $\pi$ implies the same vanishing for more general representations $\pi$?

Is a product of infinite subsets of $\Bbb C_p$ Zariski dense in $\Bbb C_p^2$?

Injectivity of $\mathbb{Q}_{p}$ and $\mathbb{Z}(p^{\infty})$

Coinvariants of rigid meromorphic function (on the p-adic upper half-plane)

Are there explicit formulas for traces and norms of $p$-adic fields with given ramification index?

Prove that $\mathbb{Z}_p$ is isomorphic to $End(\mathbb{Z}_p)$

For a finite extension $K/\mathbb{Q}_2$, the extension $K(\sqrt{-1})/K$ is always totally ramified

What is the relationship between the field fixed by the decomposition group and the embeddings in the p-adic numbers?

Prime elements and $p$-adic completions

How do I differentiate between $\sqrt{5}$ and $-\sqrt{5}$ in the $11$-adics - and should I even try to?

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