User The Thin Whistler

12 votes

0 answers

868 views

Is the number $\sum_{p\text{ prime}}p^{-2}$ known to be irrational?

asked Jun 15, 2016 at 15:46

8 votes

2 answers

536 views

What do we know about the structure of $J_{0}(N)$ over $\mathbb{Q}[{\mu}_{{p}^{\infty}},{{k}}^{\frac{{1}}{{p}^{n}}}])$?

asked Dec 14, 2015 at 13:02

8 votes

0 answers

161 views

Looking for an elliptic curve E st ${\large Ш}(\mathbb Q,E)$ cont. an element of order $p^2$ and certain other properties

asked Sep 19, 2017 at 11:08

7 votes

1 answer

389 views

Existence of imaginary quadratic fields of class numbers coprime to $p$ with prescribed splitting behaviour of $p$

asked Aug 1, 2016 at 11:14

7 votes

0 answers

162 views

Relation between the additive Haar measure on $(K,+)$ and the multiplicative Haar measure on $K^{*}$ for a global field $K$

asked Jul 4, 2023 at 18:50

6 votes

0 answers

338 views

Deeper meaning behind the occurrence of the factor $\frac{\log q}{i}$ in Deninger's results

asked Sep 9 at 16:51

6 votes

1 answer

938 views

Relationship between Tate-Shafarevich group and the BSD conjecture

asked Aug 23, 2016 at 15:49

6 votes

2 answers

421 views

Does the category of local rings with residue field $F$ have an initial object?

asked May 15, 2020 at 12:46

6 votes

2 answers

789 views

Reference request: Kleiman's proof of Snapper's Lemma

asked Mar 29, 2021 at 16:55

6 votes

1 answer

674 views

Good references for K-theory of modular curves?

asked Dec 21, 2015 at 10:18

5 votes

1 answer

220 views

Is there $t\in\operatorname{Gal}(\overline{K}/K)$ s.t. $\operatorname{rank}_{\mathbf{Z}_p}((t-1)E_{p^\infty}(\overline{K}))=1$?

asked Dec 26, 2015 at 14:16

5 votes

2 answers

620 views

Mordell-Weil rank of an elliptic curve over $\mathbb{Q}(\sqrt{-1},\sqrt{2},\sqrt{3},\sqrt{5},...)$?

asked Jul 13, 2016 at 8:07

5 votes

1 answer

555 views

Attribution of theorem saying that inducing isomorphism on homology implies homotopy equivalence between H spaces that are CW complexes

asked Oct 20, 2017 at 16:04

5 votes

0 answers

323 views

Existence of infinitely many Heegner points that are divisible by $p^{n}$ in $K_{\lambda}$

asked Dec 29, 2017 at 16:07

4 votes

0 answers

252 views

Height pairings of Heegner points of nontrivial conductor

asked Sep 5, 2016 at 10:33

3 votes

1 answer

528 views

Selmer and free rank of Elliptic Curves

asked Jul 23, 2016 at 21:26

3 votes

1 answer

332 views

Degeneration of Hodge-de Rham spectral sequence, exactness of a pairing and the trace morphism

asked Mar 6, 2021 at 14:57

3 votes

1 answer

258 views

Automorphisms of Frobenius liftings and degeneration of the Hodge-de Rham spectral sequence

asked Mar 10, 2021 at 15:05

3 votes

1 answer

321 views

Is there an infinite family of primes $q_{1},q_{2},...$ so that the rank of $E(\mathbb{Q}(\sqrt{-q_{i}}))$ equals that of $E(\mathbb{Q})$?

asked Jul 13, 2016 at 10:50

3 votes

0 answers

323 views

Lifting a real quadratic twist of an Elliptic Curve to the modular curve

asked Jan 11, 2016 at 13:55

3 votes

1 answer

1k views

Cohomology of elliptic curves

asked Mar 14, 2016 at 18:00

3 votes

1 answer

392 views

A question on the cohomology of elliptic curves over local fields

asked Apr 20, 2015 at 15:45

3 votes

0 answers

205 views

Beilinson-Lichtenbaum conjecture for algebraic extensions of $\mathbb{Z}/m$

asked Oct 18, 2023 at 9:35

3 votes

0 answers

176 views

A question regarding Corollary 4.12 in Mumford's "Analytic construction of deg. Ab. Var."

asked Mar 13, 2022 at 16:12

3 votes

0 answers

248 views

Do Weil cohomology theories for schemes over arbitrary rings exist, and do the standard theorems (Lefschetz fixed point, Tr. Formula etc.) still hold?

asked Nov 24, 2022 at 20:02

2 votes

0 answers

134 views

Differential equation of Van Gorder type for zeta of global fields, or: Does the zeta function of a global field satisfy a differential equation?

asked May 7, 2022 at 9:54

2 votes

0 answers

154 views

$L$-series and Riemann zeta function

asked Jan 15, 2023 at 1:32

2 votes

0 answers

241 views

Reference request: Cohomology of Elliptic Curves

asked May 16, 2015 at 13:51

2 votes

1 answer

143 views

Points $\alpha_n$ of $A$ over the $m_n$-th layer in a $\mathbb{Z}_p$-ext. of $K$, where $A$ is an Ab. var. and $m_n$ is strictly increasing

asked Dec 27, 2015 at 13:33

2 votes

1 answer

165 views

Local nontriviality of genus-one curves over extensions of degree dividing $6^n$

asked Mar 31, 2016 at 13:57

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48 Questions

Is the number $\sum_{p\text{ prime}}p^{-2}$ known to be irrational?

What do we know about the structure of $J_{0}(N)$ over $\mathbb{Q}[{\mu}_{{p}^{\infty}},{{k}}^{\frac{{1}}{{p}^{n}}}])$?

Looking for an elliptic curve E st ${\large Ш}(\mathbb Q,E)$ cont. an element of order $p^2$ and certain other properties

Existence of imaginary quadratic fields of class numbers coprime to $p$ with prescribed splitting behaviour of $p$

Relation between the additive Haar measure on $(K,+)$ and the multiplicative Haar measure on $K^{*}$ for a global field $K$

Deeper meaning behind the occurrence of the factor $\frac{\log q}{i}$ in Deninger's results

Relationship between Tate-Shafarevich group and the BSD conjecture

Does the category of local rings with residue field $F$ have an initial object?

Reference request: Kleiman's proof of Snapper's Lemma

Good references for K-theory of modular curves?

Is there $t\in\operatorname{Gal}(\overline{K}/K)$ s.t. $\operatorname{rank}_{\mathbf{Z}_p}((t-1)E_{p^\infty}(\overline{K}))=1$?

Mordell-Weil rank of an elliptic curve over $\mathbb{Q}(\sqrt{-1},\sqrt{2},\sqrt{3},\sqrt{5},...)$?

Attribution of theorem saying that inducing isomorphism on homology implies homotopy equivalence between H spaces that are CW complexes

Existence of infinitely many Heegner points that are divisible by $p^{n}$ in $K_{\lambda}$

Height pairings of Heegner points of nontrivial conductor

Selmer and free rank of Elliptic Curves

Degeneration of Hodge-de Rham spectral sequence, exactness of a pairing and the trace morphism

Automorphisms of Frobenius liftings and degeneration of the Hodge-de Rham spectral sequence

Is there an infinite family of primes $q_{1},q_{2},...$ so that the rank of $E(\mathbb{Q}(\sqrt{-q_{i}}))$ equals that of $E(\mathbb{Q})$?

Lifting a real quadratic twist of an Elliptic Curve to the modular curve

Cohomology of elliptic curves

A question on the cohomology of elliptic curves over local fields

Beilinson-Lichtenbaum conjecture for algebraic extensions of $\mathbb{Z}/m$

A question regarding Corollary 4.12 in Mumford's "Analytic construction of deg. Ab. Var."

Do Weil cohomology theories for schemes over arbitrary rings exist, and do the standard theorems (Lefschetz fixed point, Tr. Formula etc.) still hold?

Differential equation of Van Gorder type for zeta of global fields, or: Does the zeta function of a global field satisfy a differential equation?

$L$-series and Riemann zeta function

Reference request: Cohomology of Elliptic Curves

Points $\alpha_n$ of $A$ over the $m_n$-th layer in a $\mathbb{Z}_p$-ext. of $K$, where $A$ is an Ab. var. and $m_n$ is strictly increasing

Local nontriviality of genus-one curves over extensions of degree dividing $6^n$