List questions from algebraic-geometry

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ideal extension in polynomial ring over quotient field

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190

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Finite Algebras and Grobner Bases

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292

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Prove that a map is open in the Zariski topology

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218

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Intuition and technique for (strict) Henselization of nodal cubic at node

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136

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On $A$ algebra homomorphisms $A[[X_1,...,X_n]]\to Q(A)$, where $A$ is a complete DVR

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40

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if the base chage of all fibres of a morphism is faithfully flat, do we have flatness of the morphism?

Published on 25 Mar 2026 - 7:52

180

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Intermediate step solving Hartshorne Ex II-3.12 a)

Published on 25 Mar 2026 - 11:53

80

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Embedded primes in a finitely generated algebra over an algebraically closed field

Published on 09 Apr 2026 - 3:42

113

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Restriction of scalars $G \mapsto \operatorname{Res}_{\mathbb C/\mathbb R} G$ is injective?

Published on 25 Mar 2026 - 14:26

241

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What's the canonical definition of isogeny between semi-abelian schemes over base scheme S?

Published on 11 Apr 2026 - 6:03

270

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Clarifications on proof of Hilbert's Theorem for finitely generated graded modules over $k[x_1,...,x_r]$

Published on 04 Apr 2026 - 12:46

316

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Are isomorphic plane curves projectively equivalent?

Published on 12 Apr 2026 - 10:03

53

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Algebraic independence of $d$-products of $2$-linear forms

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720

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Hartshorne II-3.22(b)

Published on 10 Apr 2026 - 22:57

List Question

Proposition 1.6.6, Etale Cohomology theory, Lei Fu

ideal extension in polynomial ring over quotient field

Finite Algebras and Grobner Bases

Prove that a map is open in the Zariski topology

Intuition and technique for (strict) Henselization of nodal cubic at node

On $A$ algebra homomorphisms $A[[X_1,...,X_n]]\to Q(A)$, where $A$ is a complete DVR

if the base chage of all fibres of a morphism is faithfully flat, do we have flatness of the morphism?

Intermediate step solving Hartshorne Ex II-3.12 a)

Embedded primes in a finitely generated algebra over an algebraically closed field

Restriction of scalars $G \mapsto \operatorname{Res}_{\mathbb C/\mathbb R} G$ is injective?

What's the canonical definition of isogeny between semi-abelian schemes over base scheme S?

Clarifications on proof of Hilbert's Theorem for finitely generated graded modules over $k[x_1,...,x_r]$

Are isomorphic plane curves projectively equivalent?

Algebraic independence of $d$-products of $2$-linear forms

Hartshorne II-3.22(b)

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