List questions from algebraic-geometry

Published on 25 Mar 2026 - 11:14

56

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Global sections of a Vojta divisor: a lemma for Faltings' theorem and Vojta's inequality

Published on 25 Mar 2026 - 3:22

67

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$H^*(\mathbb{G}(k,n))$ free with basis the partitions that index the Schubert varieties

Published on 03 Apr 2026 - 23:13

261

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$PGL_2(\Bbb R)$ as a scheme

Published on 06 Apr 2026 - 23:57

363

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Resolution of plane curve singularity

Published on 01 Apr 2026 - 8:31

548

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Very affine varieties form basis of Zariski Topology

Published on 04 Apr 2026 - 18:35

55

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Let $Z$ be $n$ distinct points. Show that $Z$ is the common zero locus of two polynomials $f,g\in K[x,y]$ s.t. deg $f \le n-1$ and deg $g\le n$

Published on 07 Apr 2026 - 4:48

92

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Bounded 4-manifold signature

Published on 01 Apr 2026 - 12:00

191

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Line bundles of degree (g-1) on a smooth projective curve

Published on 24 Oct 2018 - 4:41

649

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Exercise 1.5.5 in Guillemin and Pollack.

Published on 26 Mar 2026 - 6:34

408

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Closed points and rational points

Published on 06 Apr 2026 - 0:33

131

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Can $n+1$ distinct positive vectors in $\mathbb{R}^n_{>0}$ agree on $n$ distinct weighted $p$-norms?

Published on 28 Mar 2026 - 22:31

257

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First order deformation isomorphic to the tangent space of moduli?

Published on 06 Apr 2026 - 22:51

116

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Show the space of flat connections $(\mathbb T^2)^N / {\mathfrak S}_N$ is a $(N-1)$-complex projective space

Published on 25 Mar 2026 - 6:12

113

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Definition of relative (line) bundle.

Published on 24 Oct 2018 - 19:54

List Question

Quotient of linear algebraic groups: dimension of a faithful representation

Global sections of a Vojta divisor: a lemma for Faltings' theorem and Vojta's inequality

$H^*(\mathbb{G}(k,n))$ free with basis the partitions that index the Schubert varieties

$PGL_2(\Bbb R)$ as a scheme

Resolution of plane curve singularity

Very affine varieties form basis of Zariski Topology

Let $Z$ be $n$ distinct points. Show that $Z$ is the common zero locus of two polynomials $f,g\in K[x,y]$ s.t. deg $f \le n-1$ and deg $g\le n$

Bounded 4-manifold signature

Line bundles of degree (g-1) on a smooth projective curve

Exercise 1.5.5 in Guillemin and Pollack.

Closed points and rational points

Can $n+1$ distinct positive vectors in $\mathbb{R}^n_{>0}$ agree on $n$ distinct weighted $p$-norms?

First order deformation isomorphic to the tangent space of moduli?

Show the space of flat connections $(\mathbb T^2)^N / {\mathfrak S}_N$ is a $(N-1)$-complex projective space

Definition of relative (line) bundle.

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