48

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2

Algebraic geometry examples

2

Collecting proofs that finite multiplicative subgroups of fields are cyclic.

1

Justifying/Explaining math research in a public address

5

A bestiary of topologies on Sch

0

Giving a math talk with no blackboard or projector

1

Is a ‘generic’ variety nonsingular? Or singular?

2

Invariant differential forms on commutative group schemes are closed!?

-2

hypersurfaces of Euclidean space

2

Is a complex manifold projective just because its blow-up at a point is ?

3

“Bad” reduction of Shimura curves via dual graphs

1

indecomposable vector bundles having proper sub-bundles.

2

Calculating normal bundle

2

Is $\mathbb{A}²$ the universal smooth scheme which is a finite cover of $\mathbb{A}²/μ₂$?

2

Schottky locus in genus 2

1

Determinant and exact sequences of sheaves.

2

Is every homogeneous G-variety of the form G/H?

4

A local-to-global principle for being a rational surface

10

Given a family of curves, when does there exist a fibered surface over Spec Z parametrizing them?

5

Is there for every variety X an abelian variety A such that their 1st l-adic cohomologies are isomorphic?

4

A question on deformations of Theta divisor in the Jacobian of a complex curve

2

moduli of vector bundles on a surface

4

Projective resolution of modules over rings which are regular in codimension n

2

Is there any holomorphic version of the tubular neighborhood theorem?

4

When is there a deformation of a given singularity to a normal singularity

2

Is $X\times \mathbb{P}^{n}$ connected for a smooth, proper and connected scheme $X$?

1

A necessary and sufficient condition for a curve to have an $A_k$ singularity.

0

Flatness of sheaf of relative Kahler differentials

3

Isomorphism of the function field of the projective line with $\mathbf{C}(s)$

0

degree 0 vector bundles

3

Quartic form which is irreducible but not geometrically irreducible