List questions from arithmetic-geometry

Published on 12 Sep 2016 - 11:58

76

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Irreducible Plane Curves Over the Algebraic $p$-adic Numbers

Published on 26 Sep 2016 - 15:43

196

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Quadric surfaces with a rational point

Published on 01 Oct 2016 - 2:02

276

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Zeta function of smooth conic?

Published on 04 Oct 2016 - 16:17

416

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Sheaf cohomology in the classical setting, carrying it over to the étale setting?

Published on 07 Oct 2016 - 15:59

107

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Multiplication by $p$ after faithfully flat base change

Published on 07 Oct 2016 - 18:57

158

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Level structure on relative Jacobian

Published on 24 Oct 2016 - 21:48

137

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Action of Galois on $L$-Schemes

Published on 27 Oct 2016 - 16:18

117

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Pullback of global sections of a vector bundle over a rational point

Published on 30 Oct 2016 - 23:04

150

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Prime $\ell \in \mathbb{Z}$ where $\ell\mathcal{R}_i$ prime ideal of $\mathcal{R}_i$ for all $i = 1, 2, \ldots, n$? (Exercise 5.5, Silverman)

Published on 12 Nov 2016 - 15:04

60

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$q^{-\epsilon s/2} Z(V/\mathbb{F}_q; q^{-s})$ invariant under $s \mapsto N - s$.

Published on 12 Nov 2016 - 15:39

119

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$E/\mathbb{F}_p$ supersingular elliptic curve, what's $\# E(\mathbb{F}_{p^n})$?

Published on 25 Mar 2026 - 9:38

449

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Weil pairing is a primitive $n$th root of unity?

Published on 12 Nov 2016 - 20:02

784

Views

For any elliptic curve $E/\mathbb{Q}$, there are infinitely many primes $p$ such that $E$ is ordinary.

Published on 13 Nov 2016 - 15:08

62

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Do there exist any elliptic curves $E\mathbb{F}_8$ satisfying either $\# E(\mathbb{F}_8) = 7$ or $\#E(\mathbb{F}_8) = 11$?

Published on 13 Nov 2016 - 23:49

List Question

Zeta function of algebraic variety over $\mathbb{F}_q$, formula for product of Witt vectors.

Irreducible Plane Curves Over the Algebraic $p$-adic Numbers

Quadric surfaces with a rational point

Zeta function of smooth conic?

Sheaf cohomology in the classical setting, carrying it over to the étale setting?

Multiplication by $p$ after faithfully flat base change

Level structure on relative Jacobian

Action of Galois on $L$-Schemes

Pullback of global sections of a vector bundle over a rational point

Prime $\ell \in \mathbb{Z}$ where $\ell\mathcal{R}_i$ prime ideal of $\mathcal{R}_i$ for all $i = 1, 2, \ldots, n$? (Exercise 5.5, Silverman)

$q^{-\epsilon s/2} Z(V/\mathbb{F}_q; q^{-s})$ invariant under $s \mapsto N - s$.

$E/\mathbb{F}_p$ supersingular elliptic curve, what's $\# E(\mathbb{F}_{p^n})$?

Weil pairing is a primitive $n$th root of unity?

For any elliptic curve $E/\mathbb{Q}$, there are infinitely many primes $p$ such that $E$ is ordinary.

Do there exist any elliptic curves $E\mathbb{F}_8$ satisfying either $\# E(\mathbb{F}_8) = 7$ or $\#E(\mathbb{F}_8) = 11$?

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