Question

Show that the algebraic subsets of $\mathbb{A}^1(k)$ are just the finite subsets, together with $\mathbb{A}^1(k)$ itself

score 1k · Answer 1 · 2026-03-24 22:07:42

1k

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Show that the algebraic subsets of $\mathbb{A}^1(k)$ are just the finite subsets, together with $\mathbb{A}^1(k)$ itself

Published on 24 Mar 2026 - 22:07

score 128 · Answer 2 · 2026-03-30 14:26:40

128

Views

Does the singularities of black holes not being simply connected imply that the universal coverings of quantum field theory fail?

Published on 30 Mar 2026 - 14:26

score 51 · Answer 3 · 2018-05-13 10:08:59

51

Views

Given a polynomial $f(z)\in\mathbb{C}[z]$, there exists only finitely many $c$ s.t. $f(z)-c=0$ has repeated roots?

Published on 13 May 2018 - 10:08

score 43 · Answer 4 · 2026-03-25 06:13:07

43

Views

Hyperelliptic Curves -Monodromy around $\infty$ is non-trivial if and only if deg$f$ is odd

Published on 25 Mar 2026 - 6:13

score 588 · Answer 5 · 2026-03-25 20:35:14

588

Views

$\mathbb P^n\times \mathbb P^m\not\cong \mathbb P^{m+n}$

Published on 25 Mar 2026 - 20:35

score 61 · Answer 6 · 2026-03-25 22:02:48

61

Views

Why the Hodge filtrations vary holomorphically.

Published on 25 Mar 2026 - 22:02

score 451 · Answer 7 · 2026-03-25 06:13:11

451

Views

Ask for the rational roots of $\frac{a}{b+c}+\frac{b}{a+c}+\frac{c}{a+b}=4.$

Published on 25 Mar 2026 - 6:13

score 641 · Answer 8 · 2026-03-25 06:32:41

641

Views

Circle Parametric equation in $3D$ space?

Published on 25 Mar 2026 - 6:32

score 402 · Answer 9 · 2026-03-29 08:16:04

402

Views

Showing all finite subsets of $\mathbb{A}^n(k)$ are algebraic, and is it possible to sample from the resulting ideal?

Published on 29 Mar 2026 - 8:16

score 343 · Answer 10 · 2026-03-25 02:29:09

343

Views

if the tensor product of a finite field extension and the separable closure over base field is a field, then their intersection is the base field

Published on 25 Mar 2026 - 2:29

score 111 · Answer 11 · 2026-03-25 12:31:21

111

Views

Hilbert function of a primary ideal

Published on 25 Mar 2026 - 12:31

score 97 · Answer 12 · 2026-03-27 10:44:34

97

Views

Fractional ideals invertible at minimal primes only containing zero divisors

Published on 27 Mar 2026 - 10:44

score 35 · Answer 13 · 2018-05-14 13:11:07

35

Views

Birational $\mathbb{P}^{1}$-bundles

Published on 14 May 2018 - 13:11

score 85 · Answer 14 · 2026-03-30 15:13:09

85

Views

Definition of differential forms on $\mathbf P^n$.

Published on 30 Mar 2026 - 15:13

score 51 · Answer 15 · 2026-03-25 14:24:33

51

Views

How to define valuation of an element of residue class field of a place

Published on 25 Mar 2026 - 14:24

List Question

Show that the algebraic subsets of $\mathbb{A}^1(k)$ are just the finite subsets, together with $\mathbb{A}^1(k)$ itself

Does the singularities of black holes not being simply connected imply that the universal coverings of quantum field theory fail?

Given a polynomial $f(z)\in\mathbb{C}[z]$, there exists only finitely many $c$ s.t. $f(z)-c=0$ has repeated roots?

Hyperelliptic Curves -Monodromy around $\infty$ is non-trivial if and only if deg$f$ is odd

$\mathbb P^n\times \mathbb P^m\not\cong \mathbb P^{m+n}$

Why the Hodge filtrations vary holomorphically.

Ask for the rational roots of $\frac{a}{b+c}+\frac{b}{a+c}+\frac{c}{a+b}=4.$

Circle Parametric equation in $3D$ space?

Showing all finite subsets of $\mathbb{A}^n(k)$ are algebraic, and is it possible to sample from the resulting ideal?

if the tensor product of a finite field extension and the separable closure over base field is a field, then their intersection is the base field

Hilbert function of a primary ideal

Fractional ideals invertible at minimal primes only containing zero divisors

Birational $\mathbb{P}^{1}$-bundles

Definition of differential forms on $\mathbf P^n$.

How to define valuation of an element of residue class field of a place

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