Question

Why is the functor $S\mapsto$ isomorphism classes of curves of genus $g$ over $S$ not representable?

score 56 · Answer 1 · 2026-03-26 02:46:47

56

Views

Why is the functor $S\mapsto$ isomorphism classes of curves of genus $g$ over $S$ not representable?

Published on 26 Mar 2026 - 2:46

score 304 · Answer 2 · 2021-04-21 01:59:48

304

Views

Two seemingly non-isomorphic elliptic curves over a finite field which have the same cardinality

Published on 21 Apr 2021 - 1:59

score 91 · Answer 3 · 2021-04-22 13:00:46

91

Views

What value of $b$ makes the graph of $y^2 = x^3-x+b$ self-intersection?

Published on 22 Apr 2021 - 13:00

score 86 · Answer 4 · 2026-03-26 07:39:14

86

Views

Genus and jacobian of a curve "parametrized by two elliptic curve"

Published on 26 Mar 2026 - 7:39

score 68 · Answer 5 · 2026-03-29 11:44:23

68

Views

Proving $V(\mathbb{F}_q)=\{ P \in V :\varphi(P)=P\}$, when $\varphi$ is the Frobenius map

Published on 29 Mar 2026 - 11:44

score 41 · Answer 6 · 2026-04-11 12:37:33

41

Views

Semaev's attack - strange step?

Published on 11 Apr 2026 - 12:37

score 171 · Answer 7 · 2026-04-11 03:56:19

171

Views

Equivalence between Hasse bound and Weil conjecture for elliptic curves

Published on 11 Apr 2026 - 3:56

score 331 · Answer 8 · 2026-03-25 10:58:49

331

Views

Converting equation into short Weierstrass form

Published on 25 Mar 2026 - 10:58

score 200 · Answer 9 · 2026-04-11 12:18:29

200

Views

Isogeny between elliptic curves is always bijective?

Published on 11 Apr 2026 - 12:18

score 94 · Answer 10 · 2026-04-11 12:24:39

94

Views

Does the first coordinate of a morphism (isogeny) of elliptic curves only depend on the $x$-coordinate?

Published on 11 Apr 2026 - 12:24

score 265 · Answer 11 · 2026-03-25 11:18:10

265

Views

Why should we believe the abc conjecture?

Published on 25 Mar 2026 - 11:18

score 222 · Answer 12 · 2021-04-29 01:51:15

222

Views

Number of points of elliptic curve $y^2 = x^3 - x$ over $\mathbb{F}_{p^2}$ with $p \equiv 3 \mod 4$

Published on 29 Apr 2021 - 1:51

score 59 · Answer 13 · 2026-03-26 22:58:44

59

Views

Show that $E(K)/2E(K)$ is finite

Published on 26 Mar 2026 - 22:58

score 365 · Answer 14 · 2026-04-11 02:20:25

365

Views

Weil Reciprocity

Published on 11 Apr 2026 - 2:20

score 190 · Answer 15 · 2026-03-25 09:28:51

190

Views

Is the ring of integers of any imaginary quadratic field equal to $\mathrm{End}(E)$ for some $E / \Bbb Q$?

Published on 25 Mar 2026 - 9:28

List Question

Why is the functor $S\mapsto$ isomorphism classes of curves of genus $g$ over $S$ not representable?

Two seemingly non-isomorphic elliptic curves over a finite field which have the same cardinality

What value of $b$ makes the graph of $y^2 = x^3-x+b$ self-intersection?

Genus and jacobian of a curve "parametrized by two elliptic curve"

Proving $V(\mathbb{F}_q)=\{ P \in V :\varphi(P)=P\}$, when $\varphi$ is the Frobenius map

Semaev's attack - strange step?

Equivalence between Hasse bound and Weil conjecture for elliptic curves

Converting equation into short Weierstrass form

Isogeny between elliptic curves is always bijective?

Does the first coordinate of a morphism (isogeny) of elliptic curves only depend on the $x$-coordinate?

Why should we believe the abc conjecture?

Number of points of elliptic curve $y^2 = x^3 - x$ over $\mathbb{F}_{p^2}$ with $p \equiv 3 \mod 4$

Show that $E(K)/2E(K)$ is finite

Weil Reciprocity

Is the ring of integers of any imaginary quadratic field equal to $\mathrm{End}(E)$ for some $E / \Bbb Q$?

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