List questions from algebraic-geometry

Published on 10 Apr 2026 - 19:20

215

Views

Show that quadratics $f, g\in\mathbb {C}[x, y]$ have at most four common zeroes, unless they have a non-constant factor in common.

Published on 12 Apr 2026 - 7:34

257

Views

Understanding sheaves on a $2$-element set

Published on 11 Apr 2026 - 20:00

796

Views

Relative Spec (the structure map)

Published on 01 Apr 2026 - 6:20

361

Views

If the ground field has characteristic $p$ then every line through the origin is a tangent line to the curve $y = x^{p+1}$

Published on 05 Feb 2019 - 18:44

1.6k

Views

The Legendre family of elliptic curves

Published on 10 Apr 2026 - 13:50

78

Views

basic question about the meaning of "functions defined on a variety"

Published on 12 Apr 2026 - 18:48

112

Views

What is the affine ring of $\mathbb{P}^1_K - P$ where $P$ is a closed but possibly non-$K$-rational point.

Published on 06 Feb 2019 - 5:15

90

Views

Sylvester Gallai for complex projective plane

Published on 12 Apr 2026 - 8:16

342

Views

Zariski closure of the set of maximal ideals

Published on 25 Mar 2026 - 11:03

140

Views

Radical of height $2$ ideal in polynomial ring of two variables

Published on 12 Apr 2026 - 8:48

457

Views

Factorizations of etale morphisms

Published on 11 Apr 2026 - 4:03

118

Views

Homogeneous ideal of height $2$ in $\mathbb C[X,Y]$

Published on 25 Mar 2026 - 11:54

91

Views

Existence of a hyper surface containing the singular locus of projective variety.

Published on 25 Mar 2026 - 4:41

1.1k

Views

So many different 'varieties', which one is this? Serre's algebraic variety

Published on 25 Mar 2026 - 7:43

List Question

Stability conditions for a quiver

Show that quadratics $f, g\in\mathbb {C}[x, y]$ have at most four common zeroes, unless they have a non-constant factor in common.

Understanding sheaves on a $2$-element set

Relative Spec (the structure map)

If the ground field has characteristic $p$ then every line through the origin is a tangent line to the curve $y = x^{p+1}$

The Legendre family of elliptic curves

basic question about the meaning of "functions defined on a variety"

What is the affine ring of $\mathbb{P}^1_K - P$ where $P$ is a closed but possibly non-$K$-rational point.

Sylvester Gallai for complex projective plane

Zariski closure of the set of maximal ideals

Radical of height $2$ ideal in polynomial ring of two variables

Factorizations of etale morphisms

Homogeneous ideal of height $2$ in $\mathbb C[X,Y]$

Existence of a hyper surface containing the singular locus of projective variety.

So many different 'varieties', which one is this? Serre's algebraic variety

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