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Answers
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4
The étale fundamental group in the non-normal case
3
Tangent space in Algebraic geometry and Differential geometry
1
Does Physics need non-analytic smooth functions?
4
What’s the “best” proof of quadratic reciprocity?
15
How many flat connections has a line bundle in algebraic geometry?
6
Topological characterization of the closed interval $[0,1]$.
3
Is the canonical height of a totally p-adic point on an abelian variety bounded away from zero?
2
Volumes of families of semialgebraic sets
3
What is the definition of “canonical” ?
4
A slick proof of the Bruhat Decomposition for GL_n(k)?
11
What sets of primes can we pick out with first-order statements?
5
Two different analytic curves cannot intersect in infinitely many points
5
algebraization theorems
1
Is the empty graph a tree?
7
Are rational varieties simply connected?
1
How to write down explictly the isomorphism of two finite dimensional representation of compact groups?
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?
1
Are there only finite many maximal left ideals for a left Artinian ring?
5
Arithmetic dynamics and dynamics on moduli spaces
8
How to calculate zeroth crystalline cohomology
3
How we obtain information about a variety from an algebraic group acting on it
3
Awfully sophisticated proof for simple facts
10
Can Liouville’s number be expressed as a physical ratio in the sense that $\pi$ is?
14
Covering maps in real life that can be demonstrated to students
6
Primitive $k$th root of unity in a finite field $\mathbb{F}_p$
7
questions on Néron-Tate canonical height
3
connectedness of the complement of the zero set of a polynomial $P: SL(N,\mathbb{C})^n \rightarrow \mathbb{C}$
5
The use of embedding a curve into its Jacobian
5
Ultraproduct $\prod_p \mathbb{F}_p/\sim$ and $\mathbb{Q}^*$
8
Etale cohomology in the $p$-adic setting
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