List questions from algebraic-geometry

Published on 17 Apr 2026 - 12:22

205

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The form of subrings of $k[[t]]$

Published on 16 Apr 2026 - 4:36

296

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Proving the Existence of an Automorphism on $\mathbb{P}^{1}$

Published on 12 Apr 2026 - 17:55

684

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Can the dimension of the Zariski tangent space of a complex curve at a singular point be arbitrarily big?

Published on 24 Apr 2026 - 19:00

346

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$f_*(O_X)=O_Y$ and connectedness of fibers

Published on 15 Apr 2026 - 13:03

1k

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An affine plane curve and intersection

Published on 12 Apr 2026 - 22:15

777

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Decompose $V(Y^4-X^2,Y^4-X^2Y^2+XY^2-X^3)$ into irreducible components

Published on 17 Apr 2026 - 14:30

1.9k

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how to show that $V( Y-X^2 )$ is irreducible?

Published on 11 Apr 2026 - 10:33

397

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Show that there is only one conic passing through the five points $[0:0:1], [0:1:0],[1:0:0],[1:1:1]$ and $[1:2:3]$. Show that it is nonsingular

Published on 17 Apr 2026 - 12:28

110

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Criterion to decide the invertibility of polynomial maps

Published on 14 Apr 2026 - 15:49

499

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Closed conjugacy classes in $M_n(k)$

Published on 13 Apr 2026 - 10:44

166

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Zariski closures exercise.

Published on 10 Apr 2026 - 4:41

83

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Order of $A/2A$ for $A$ an Abelian variety

Published on 14 Apr 2026 - 16:59

249

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Computing the genus in positive characteristic

Published on 11 Apr 2026 - 18:24

290

Views

Looking for an introductory Algebraic Geometry book

Published on 09 Apr 2026 - 2:56

List Question

pullback of differential form by constant morphism

The form of subrings of $k[[t]]$

Proving the Existence of an Automorphism on $\mathbb{P}^{1}$

Can the dimension of the Zariski tangent space of a complex curve at a singular point be arbitrarily big?

$f_*(O_X)=O_Y$ and connectedness of fibers

An affine plane curve and intersection

Decompose $V(Y^4-X^2,Y^4-X^2Y^2+XY^2-X^3)$ into irreducible components

how to show that $V( Y-X^2 )$ is irreducible?

Show that there is only one conic passing through the five points $[0:0:1], [0:1:0],[1:0:0],[1:1:1]$ and $[1:2:3]$. Show that it is nonsingular

Criterion to decide the invertibility of polynomial maps

Closed conjugacy classes in $M_n(k)$

Zariski closures exercise.

Order of $A/2A$ for $A$ an Abelian variety

Computing the genus in positive characteristic

Looking for an introductory Algebraic Geometry book

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