List questions from algebraic-curves

Published on 17 Jul 2019 - 22:35

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Smooth special fiber implies smooth generic fiber when proper and flat

Published on 18 Jul 2019 - 11:33

75

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Proof of $Z(I(X))=X$ for $X\subset \mathbb{P}^n$ a projective algebraic set.

Published on 25 Mar 2026 - 6:05

765

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For every function field $L$ there is a smooth projective curve $C$ with $L\simeq k(C)$

Published on 24 Mar 2026 - 22:01

34

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Genera of curves covering $\mathbb P^n$

Published on 21 Jul 2019 - 19:23

583

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Discriminant of homogeneous polynomials

Published on 25 Mar 2026 - 1:25

109

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Minimal closed embedding of singular projective curve into some projective space

Published on 25 Mar 2026 - 6:04

86

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Criteria for existence of real intersection between a cubic and a conic plane curve

Published on 26 Mar 2026 - 9:17

64

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Find the dimension of $V(y-x^2,y^2-y+z^2)$

Published on 26 Jul 2019 - 4:26

368

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Definition of marked curve

Published on 29 Jul 2019 - 17:24

133

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Eliminating unwanted branches of algebraic curves related to triangle centres

Published on 23 Feb 2026 - 8:27

47

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4 points are not isomorphic algebraic sets and CRT

Published on 02 Aug 2019 - 9:51

114

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Two statements related to tangent developables

Published on 03 Aug 2019 - 15:09

165

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Calculate the multiplicity at the origin of the intersection of the curves $X=V(xy^2+x^4)$ and $Y=V(x^2y-x^4)$

Published on 06 Aug 2019 - 21:11

149

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Dimension of degree $2$ morphisms $\mathbb P^1 \to \mathbb P^1$

Published on 25 Mar 2026 - 7:43

List Question

Is it true that $P_f(k)\simeq C_{~^df}(k)\sqcup C_{~^d f_p}(k)$?

Smooth special fiber implies smooth generic fiber when proper and flat

Proof of $Z(I(X))=X$ for $X\subset \mathbb{P}^n$ a projective algebraic set.

For every function field $L$ there is a smooth projective curve $C$ with $L\simeq k(C)$

Genera of curves covering $\mathbb P^n$

Discriminant of homogeneous polynomials

Minimal closed embedding of singular projective curve into some projective space

Criteria for existence of real intersection between a cubic and a conic plane curve

Find the dimension of $V(y-x^2,y^2-y+z^2)$

Definition of marked curve

Eliminating unwanted branches of algebraic curves related to triangle centres

4 points are not isomorphic algebraic sets and CRT

Two statements related to tangent developables

Calculate the multiplicity at the origin of the intersection of the curves $X=V(xy^2+x^4)$ and $Y=V(x^2y-x^4)$

Dimension of degree $2$ morphisms $\mathbb P^1 \to \mathbb P^1$

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