User The Thin Whistler

12 votes

0 answers

760 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

530 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

158 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

383 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

120 views

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

asked Jul 4 at 18:50

6 votes

1 answer

856 views

Relationship between Tate-Shafarevich group and the BSD conjecture

asked Aug 23, 2016 at 15:49

6 votes

2 answers

387 views

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

asked May 15, 2020 at 12:46

6 votes

1 answer

497 views

Good references for K-theory of modular curves?

asked Dec 21, 2015 at 10:18

5 votes

1 answer

214 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

679 views

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

asked Mar 29, 2021 at 16:55

5 votes

1 answer

469 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

316 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

247 views

Height pairings of Heegner points of nontrivial conductor

asked Sep 5, 2016 at 10:33

4 votes

2 answers

587 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

3 votes

1 answer

311 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

319 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

883 views

Cohomology of elliptic curves

asked Mar 14, 2016 at 18:00

3 votes

1 answer

367 views

A question on the cohomology of elliptic curves over local fields

asked Apr 20, 2015 at 15:45

3 votes

1 answer

445 views

Selmer and free rank of Elliptic Curves

asked Jul 23, 2016 at 21:26

3 votes

1 answer

243 views

Does the sequence (Number of groups of even order $\le n$) / (Number of groups of order $\leq n$) converge? If not, what are its cluster points?

asked Nov 21, 2020 at 21:34

3 votes

1 answer

301 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

237 views

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

asked Mar 10, 2021 at 15:05

3 votes

0 answers

149 views

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

asked Oct 18 at 9:35

3 votes

0 answers

170 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

215 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

124 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

147 views

$L$-series and Riemann zeta function

asked Jan 15 at 1:32

2 votes

0 answers

465 views

Confusion regarding Proposition 1.1 in Wiles's Fermat paper

asked Jan 29, 2022 at 20:47

2 votes

2 answers

584 views

Good reference on the algebraic geometry of non-associative rings

asked Mar 21, 2020 at 19:08

2 votes

0 answers

240 views

Reference request: Cohomology of Elliptic Curves

asked May 16, 2015 at 13:51

Stack Exchange Network

47 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 $K$

Relationship between Tate-Shafarevich group and the BSD conjecture

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

Good references for K-theory of modular curves?

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

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

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

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

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

Selmer and free rank of Elliptic Curves

Does the sequence (Number of groups of even order $\le n$) / (Number of groups of order $\leq n$) converge? If not, what are its cluster points?

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

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

Confusion regarding Proposition 1.1 in Wiles's Fermat paper

Good reference on the algebraic geometry of non-associative rings

Reference request: Cohomology of Elliptic Curves