$P=[x_0:y_0:z_0]$ 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 204 · Answer 11 · 2016-09-30 11:10:08

204

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

Published on 30 Sep 2016 - 11:10

score 155 · Answer 12 · 2016-10-01 17:35:18

155

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

Published on 01 Oct 2016 - 17:35

score 414 · Answer 13 · 2016-10-03 09:39:39

414

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

Published on 03 Oct 2016 - 9:39

score 40 · Answer 14 · 2016-10-05 10:17:55

40

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

Published on 05 Oct 2016 - 10:17

score 81 · Answer 15 · 2016-10-09 17:00:00

81

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Problem when trying to interpret results concerning resultants

Published on 09 Oct 2016 - 17:00

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

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