List questions from algebraic-geometry

Published on 14 Apr 2026 - 1:37

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Some questions related to algebraic geometry

Published on 14 Apr 2026 - 17:19

194

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If $f$ and $g$ have no common factors then $V(f) \cap V(g)$ is finite.

Published on 16 Apr 2026 - 6:57

188

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Clopen sets in affine space

Published on 11 Apr 2026 - 20:47

63

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If $X$ is an irreducible variety in $\mathbb{C}^n$, then $\mathbb{C}^n \setminus X$ is path-connected.

Published on 13 Apr 2026 - 21:21

66

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The Discriminant of a Cubic

Published on 13 Apr 2026 - 2:00

53

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Possible closed immersion of Spec(K)

Published on 09 Apr 2026 - 14:19

50

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The variety $X=V(x^2+y^2-1) \subseteq k^2$ is isomorphic to k if and only if $k$ has characteristic 2

Published on 16 Apr 2026 - 14:31

111

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I Need Help Finishing A Proof That Every Weil Divisor on a Locally Factorial Variety is Locally Principal/Cartier

Published on 13 Apr 2026 - 15:43

184

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Example of a pushforward sheaf

Published on 14 Apr 2026 - 9:18

791

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Why is the direct image sheaf a left exact functor and not just exact?

Published on 17 Apr 2026 - 8:35

215

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Question About Locally Principal Divisors in Shafarevich

Published on 11 Apr 2026 - 3:54

456

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Determine the cocycle condition in Galois descent induced by faithfully flat descent

Published on 20 Apr 2026 - 15:48

59

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Show that $V(4xy+8xz+4yz-3y^2) \equiv V(x^2+y^2-z^2)$.

Published on 16 Apr 2026 - 17:26

171

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A ring homomorphism from $k[G]$ to $k$ is an evaluation map?

Published on 13 Apr 2026 - 7:53

List Question

Cohomology of toric Calabi-Yau manifolds in $d=4$

Some questions related to algebraic geometry

If $f$ and $g$ have no common factors then $V(f) \cap V(g)$ is finite.

Clopen sets in affine space

If $X$ is an irreducible variety in $\mathbb{C}^n$, then $\mathbb{C}^n \setminus X$ is path-connected.

The Discriminant of a Cubic

Possible closed immersion of Spec(K)

The variety $X=V(x^2+y^2-1) \subseteq k^2$ is isomorphic to k if and only if $k$ has characteristic 2

I Need Help Finishing A Proof That Every Weil Divisor on a Locally Factorial Variety is Locally Principal/Cartier

Example of a pushforward sheaf

Why is the direct image sheaf a left exact functor and not just exact?

Question About Locally Principal Divisors in Shafarevich

Determine the cocycle condition in Galois descent induced by faithfully flat descent

Show that $V(4xy+8xz+4yz-3y^2) \equiv V(x^2+y^2-z^2)$.

A ring homomorphism from $k[G]$ to $k$ is an evaluation map?

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