List questions from algebraic-curves

Published on 13 Apr 2026 - 21:09

369

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Dual curve of the lemniscate of Bernoulli?

Published on 14 Apr 2026 - 9:12

323

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Prove that an isolated point of $C: (f=0)\subset \mathbb{R}^2$ must be a max or min of $f: \mathbb{R}^2 \rightarrow \mathbb{R}$.

Published on 15 Apr 2026 - 21:05

84

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Do retractions exist only on rational curves?

Published on 17 Apr 2026 - 4:30

255

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Suppose nine distinct points in $\mathbb P^2(\Bbb C )$ do not all lie on any one line and any line through two of them passes through a third. Show...

Published on 16 Apr 2026 - 9:55

768

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What points help identify a cubic and an exponential graph?

Published on 16 Apr 2026 - 3:54

870

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Tangential space to the rational normal curve

Published on 14 Apr 2026 - 20:19

70

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Question about a notation of line bundle

Published on 13 Apr 2026 - 21:43

28

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A proof on the center of curves I am unsure of

Published on 13 Apr 2026 - 7:52

52

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What do the conics $x^2=-1$ and $0=1$ correspond to in $P_{\mathbb{R}}^2$?

Published on 14 Apr 2026 - 13:48

80

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Relation between curvature of curve and dual curve?

Published on 14 Apr 2026 - 7:09

954

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Visual understanding for "the genus" of a plane algebraic curve

Published on 17 Apr 2026 - 4:55

493

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$V=\mathcal{Z}(xy-z) \cong \mathbb{A}^2$.

Published on 12 Apr 2026 - 4:32

49

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$\mathcal{I}(\mathcal{Z}(f)) = \langle f \rangle$

Published on 15 Apr 2026 - 0:15

285

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Understanding the Falting's Theorem

Published on 09 Apr 2026 - 2:28

List Question

Number of solutions of an arithmetic function's equation

Dual curve of the lemniscate of Bernoulli?

Prove that an isolated point of $C: (f=0)\subset \mathbb{R}^2$ must be a max or min of $f: \mathbb{R}^2 \rightarrow \mathbb{R}$.

Do retractions exist only on rational curves?

Suppose nine distinct points in $\mathbb P^2(\Bbb C )$ do not all lie on any one line and any line through two of them passes through a third. Show...

What points help identify a cubic and an exponential graph?

Tangential space to the rational normal curve

Question about a notation of line bundle

A proof on the center of curves I am unsure of

What do the conics $x^2=-1$ and $0=1$ correspond to in $P_{\mathbb{R}}^2$?

Relation between curvature of curve and dual curve?

Visual understanding for "the genus" of a plane algebraic curve

$V=\mathcal{Z}(xy-z) \cong \mathbb{A}^2$.

$\mathcal{I}(\mathcal{Z}(f)) = \langle f \rangle$

Understanding the Falting's Theorem

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