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rmdmc89
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23 votes
2 answers
6k views

Understanding the orientable double cover

18 votes
1 answer
5k views

Is Algebraic Number Theory still an active research field?

16 votes
4 answers
6k views

Non-trivial example of algebraically closed fields

12 votes
2 answers
505 views

Space of linear, continuous, hyperbolic functions is open, dense in the set of invertible functions

11 votes
2 answers
4k views

$e^z-P(z)$ has infinitely many zeros

11 votes
2 answers
1k views

Is there a minimal graph in $\mathbb{R}^3$ which is not area-minimizing?

9 votes
3 answers
2k views

Series of independent Bernoulli variables

9 votes
1 answer
113 views

What does $\text{Sp}(n)\cdot\text{Sp}(1)$ mean in Berger's holonomy list?

9 votes
1 answer
168 views

Calibrations vs. Riemannian holonomy

8 votes
1 answer
1k views

Straightening Theorem for Vector Fields

8 votes
1 answer
1k views

Characteristic functions of random variables are non-negative definite

8 votes
1 answer
160 views

Extension $L/K$ with specific decomposition properties

8 votes
1 answer
699 views

Class group of $\mathbb{Q}(\sqrt{7})$

8 votes
1 answer
2k views

Normal quadric surfaces in $\mathbb{P}^3$

8 votes
1 answer
665 views

Universal property of images in category theory

7 votes
3 answers
510 views

"Prime decomposition of $\infty$"

7 votes
2 answers
612 views

Necessary and sufficient condition for real analyticity

7 votes
1 answer
2k views

Orthogonal differentiable family of curves

7 votes
1 answer
2k views

Discriminant of a cyclotomic field

7 votes
1 answer
135 views

Does $K[\alpha_1, ..., \alpha_n]=K(\alpha_1, ..., \alpha_n)$ imply $\alpha_1, ..., \alpha_n$ are algebraic over $K$?

7 votes
1 answer
285 views

Decomposition and inertia fields in the factorization of $3$ in $\mathbb{Q}(\zeta_{24})$

7 votes
1 answer
1k views

$Sp(2n)$ is embedded in $GL(2n)$ and has dimension $2n^2+n$

7 votes
1 answer
174 views

$f\in\mathcal{O}_X(X)$ is a unit $\Leftrightarrow f_x\neq 0$ for all $x\in X$

7 votes
1 answer
476 views

Sheaf cohomology of $\mathbb{A}^3$ minus the origin

6 votes
1 answer
91 views

Finding the algebraic elements of $\mathbb{F}_3(x,y)$ over $\mathbb{F}_3$, where $y^2+x^4-x^2+1=0$.

6 votes
1 answer
889 views

Conormal bundle and lagrangian submanifold

6 votes
1 answer
1k views

Asymptotic formula for $\sum_{n\leq x}\sigma(n)$ knowing $\sum_{n\leq x}\frac{\sigma(n)}{n}$

6 votes
1 answer
298 views

$(f(x_n))_{n\in \mathbb{N}}$ converges for all continuous $f$. Does $(x_n)_{n \in\mathbb{N}}$ converge?

6 votes
1 answer
2k views

Angles in Hilbert's axioms for geometry

6 votes
1 answer
394 views

Simple way to prove that $\mathbb{Z}[\sqrt[3]{2}]=\mathcal{O}_{\mathbb{Q}(\sqrt[3]{2})}$ [duplicate]

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