List questions from algebraic-geometry

Published on 13 Apr 2026 - 9:15

1.5k

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Does the projective Fermat curve have singular points?

Published on 15 May 2026 - 17:04

1.1k

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Can arithmetic and geometric genus be arbitrary?

Published on 14 Apr 2026 - 11:06

361

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Is the $n$-sphere $x_1^2+\cdots+x_n^2-1=0$ a rational variety in $\mathbb{A}^n$?

Published on 10 May 2026 - 17:00

130

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A basic question on the algebraic dimension of an algebraic variety

Published on 16 Apr 2026 - 2:25

91

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Classes of rings C[x,y]/(x²+cy²+ey+f)

Published on 04 May 2026 - 15:57

621

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What is the Euler characteristic of a determinantal hypersurface?

Published on 10 Apr 2026 - 20:59

3k

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Closed subscheme of a projective scheme determined by homogeneous ideals

Published on 09 Apr 2026 - 22:57

1.5k

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Flexes of cubic curve

Published on 15 May 2026 - 17:05

488

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The intersection points are collinear

Published on 15 May 2026 - 17:03

37

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On the wording of a question related to open cover of sets

Published on 14 Apr 2026 - 21:29

316

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Castelnuovo-Mumford regularity of a Veronese subring

Published on 10 May 2026 - 19:14

654

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Two Projective closures of $\mathbb{A}^1\setminus\{0\}$ which are not isomorphic as varieties.

Published on 14 Apr 2026 - 1:24

83

Views

Finding a valuation

Published on 12 Apr 2026 - 2:59

363

Views

Dominant Rational Map

Published on 14 Apr 2026 - 20:44

List Question

Describe the topology of Spec$(\mathbb{R}[x])$

Does the projective Fermat curve have singular points?

Can arithmetic and geometric genus be arbitrary?

Is the $n$-sphere $x_1^2+\cdots+x_n^2-1=0$ a rational variety in $\mathbb{A}^n$?

A basic question on the algebraic dimension of an algebraic variety

Classes of rings C[x,y]/(x²+cy²+ey+f)

What is the Euler characteristic of a determinantal hypersurface?

Closed subscheme of a projective scheme determined by homogeneous ideals

Flexes of cubic curve

The intersection points are collinear

On the wording of a question related to open cover of sets

Castelnuovo-Mumford regularity of a Veronese subring

Two Projective closures of $\mathbb{A}^1\setminus\{0\}$ which are not isomorphic as varieties.

Finding a valuation

Dominant Rational Map

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