List questions from algebraic-geometry

Published on 14 Apr 2026 - 6:58

328

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Meaning of notation $\operatorname{ord}_Q(g)$ in "Algebraic Curves" by Fulton

Published on 14 Apr 2026 - 22:17

546

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Hartshorne Exercise III 6.2 (a)

Published on 15 Apr 2026 - 9:38

163

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Flatness after dividing out a minimal prime ideal

Published on 24 Apr 2026 - 21:15

255

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Scheme theoretic dual of $\mathbb P^n_k$

Published on 11 May 2026 - 5:19

71

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Example of a ring which is not CM at all its prime ideals

Published on 11 May 2026 - 8:36

1.9k

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$k$-algebra homomorphism of the polynomial ring $k[x_1,\dots,x_n]$

Published on 24 Apr 2026 - 21:19

253

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Showing that $x^3+y^3+z^3=0$ is not rational

Published on 24 Apr 2026 - 21:19

92

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Help in this characterization of the gaps of the symmetric numerical semigroups

Published on 14 Apr 2026 - 0:50

166

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Can $xy=0$ be the image of an algebraic morphism $\mathbb A^2 \rightarrow \mathbb A^2$?

Published on 17 Apr 2026 - 8:53

83

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What does "$\overline{G}_$ is the residue of $G_$ in $\mathscr{O}_P(F)$" mean in Fulton's book on algebraic curves?

Published on 15 Apr 2026 - 8:59

1.5k

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Completion of quotient of polynomial ring

Published on 24 Apr 2026 - 21:17

1k

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Looking for a smooth curve that is not rational

Published on 17 Apr 2026 - 9:35

1.9k

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Quotient of locally free sheaf is locally free?

Published on 12 Apr 2026 - 22:41

341

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Map from $\mathbb{C}^2$ to $\mathbb{A}_{\mathbb{Q}}^2$

Published on 16 Apr 2026 - 20:38

List Question

Help in this equivalence in Fulton's book

Meaning of notation $\operatorname{ord}_Q(g)$ in "Algebraic Curves" by Fulton

Hartshorne Exercise III 6.2 (a)

Flatness after dividing out a minimal prime ideal

Scheme theoretic dual of $\mathbb P^n_k$

Example of a ring which is not CM at all its prime ideals

$k$-algebra homomorphism of the polynomial ring $k[x_1,\dots,x_n]$

Showing that $x^3+y^3+z^3=0$ is not rational

Help in this characterization of the gaps of the symmetric numerical semigroups

Can $xy=0$ be the image of an algebraic morphism $\mathbb A^2 \rightarrow \mathbb A^2$?

What does "$\overline{G}_$ is the residue of $G_$ in $\mathscr{O}_P(F)$" mean in Fulton's book on algebraic curves?

Completion of quotient of polynomial ring

Looking for a smooth curve that is not rational

Quotient of locally free sheaf is locally free?

Map from $\mathbb{C}^2$ to $\mathbb{A}_{\mathbb{Q}}^2$

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