69

Answers

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5

Simple reference for valuative criterion of integrality?

5

algebraization theorems

5

Ultraproduct $\prod_p \mathbb{F}_p/\sim$ and $\mathbb{Q}^*$

5

The use of embedding a curve into its Jacobian

5

Computing `$\pi_1 S^1$` using groupoids

5

Why no abelian varieties over Z?

5

fundamental groups of curves

4

Orbits in modular arithmetic

4

Is the direct image of a constant sheaf a constant sheaf?

4

Reference on an equivariant resolution of singularities

4

A slick proof of the Bruhat Decomposition for GL_n(k)?

4

To prove the Nullstellensatz, how can the general case of an arbitrary algebraically closed field be reduced to the easily-proved case of an uncountable algebraically closed field?

4

What’s the “best” proof of quadratic reciprocity?

4

Are schemes that “have enough locally frees” necessarily separated

4

Equidistribution in the unit interval of numbers in a real field with bounded Mahler measure

4

The étale fundamental group in the non-normal case

3

Tangent space in Algebraic geometry and Differential geometry

3

Is the canonical height of a totally p-adic point on an abelian variety bounded away from zero?

3

How we obtain information about a variety from an algebraic group acting on it

3

connectedness of the complement of the zero set of a polynomial $P: SL(N,\mathbb{C})^n \rightarrow \mathbb{C}$

3

The fundamental groupoid and a pushout in the category of groupoids.

3

nontrivial theorems with trivial proofs

3

Awfully sophisticated proof for simple facts

3

What is the definition of “canonical” ?

3

Zeros of a sequence related to roots of unity

3

transcendence of canonical heights

2

If $K$ and $L$ are compact convex sets with smooth boundary, does their union have piecewise-smooth boundary?

2

Alternative proof of unique factorization for ideals in a Dedekind ring

2

Fundamental group of the line with the double origin.

2

Volumes of families of semialgebraic sets