$P=[x_0:y_0:z_0]$ is a singularity of $F=0$ iff $\frac{\partial F}{\partial x}(P)=\frac{\partial F}{\partial y}(P)=\frac{\partial F}{\partial z}(P)=0$

score 207 · Answer 11 · 2026-04-16 04:36:10

207

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The curves $y^2=x^{2k+1}$ are never isomorphic to each other

Published on 16 Apr 2026 - 4:36

score 158 · Answer 12 · 2026-04-16 00:21:59

158

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A curve of genus $15$ and degree $11$ is contained in a cubic surface

Published on 16 Apr 2026 - 0:21

score 417 · Answer 13 · 2026-04-12 16:36:54

417

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How to show that axiomatic intersection multiplicity is invariant under affine transformations?

Published on 12 Apr 2026 - 16:36

score 43 · Answer 14 · 2026-04-16 12:43:42

43

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Does $\mathcal{F}(U)_P = \mathcal{F}_P$ hold for $P \in U$?

Published on 16 Apr 2026 - 12:43

score 84 · Answer 15 · 2026-04-14 07:43:30

84

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Problem when trying to interpret results concerning resultants

Published on 14 Apr 2026 - 7:43

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$P=[x_0:y_0:z_0]$ is a singularity of $F=0$ iff $\frac{\partial F}{\partial x}(P)=\frac{\partial F}{\partial y}(P)=\frac{\partial F}{\partial z}(P)=0$

The curves $y^2=x^{2k+1}$ are never isomorphic to each other

A curve of genus $15$ and degree $11$ is contained in a cubic surface

How to show that axiomatic intersection multiplicity is invariant under affine transformations?

Does $\mathcal{F}(U)_P = \mathcal{F}_P$ hold for $P \in U$?

Problem when trying to interpret results concerning resultants

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