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Evariste's user avatar
Evariste's user avatar
Evariste
  • Member for 8 years, 11 months
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17 votes
4 answers
2k views

What is a simple definition of the pullback of a section?

7 votes
1 answer
191 views

Closed form for $\int_0^R \frac{dx}{\sqrt{\ln(1+x)}}$, R>0

6 votes
1 answer
2k views

Infinite exponentiation $n^{n^{n^{...^n}}} \equiv m \pmod q$ , find m?

6 votes
2 answers
413 views

Basis of extension of scalars

5 votes
1 answer
756 views

When is it true that if a section vanishes on a dense open set then it is the zero global section?

5 votes
3 answers
161 views

Determinant of a specific $n\times n$ matrix [duplicate]

4 votes
1 answer
2k views

What are the semi-direct products of $\mathbb{Z}$ with itself? (Check my work please)

4 votes
1 answer
370 views

Deriving Bachet's duplication formula

3 votes
1 answer
46 views

If $A \subsetneq B$, is it always true that $A \otimes_kC \subsetneq B\otimes_kC$? ($C$ non-trivial)

3 votes
0 answers
68 views

What shapes do these quotients represent? Do they have a name?

3 votes
3 answers
95 views

Is there a slick argument to prove that, for $n>6$, $2(n-2)!=2^kk!(n-2k)! \implies k=1$?

3 votes
1 answer
148 views

Looking for a closed form of $I(n,m)=\int_0^{+\infty} e^{-ax^n-\frac{b}{x^m}} \, dx$

2 votes
1 answer
180 views

A variant of Viète's formula (the 2's replaced by 3's)

2 votes
0 answers
178 views

Provide a three-fold connected non-regular covering of $\mathbb{S}^1 \vee \mathbb{T}^2$ along with its projection

2 votes
1 answer
146 views

Algorithm for computing the $n$-th root of any polynomial with detached coefficients

2 votes
2 answers
123 views

If $p$ is a closed point then $X-p$ is not an affine scheme

2 votes
1 answer
74 views

If $L/K$ is a finite separable extension and $P \in K[X], Q \in L[X]$, then $P = Q^n \Rightarrow Q \in K[X]$

2 votes
1 answer
672 views

Does every non-empty closed subset of a scheme $X$ contain closed points in $X$ ($X$ not necessarily quasi-compact)

1 vote
1 answer
844 views

Double dual of locally free $O_X$-module $F$ of finite rank is isomorphic to $F$

1 vote
1 answer
158 views

Do additive functors preserve exact sequences of $O_Y$-modules which are only locally split?

1 vote
0 answers
53 views

$\mathbb{Q}(\sqrt{r},\sqrt{q})$ is unramified over $\mathbb{Q}(\sqrt{rq})$ for $r \equiv1 \pmod4$ and $q \equiv3 \pmod 4$

1 vote
1 answer
91 views

Kernel of complex tori morphism, is this elementary assertion true?

1 vote
0 answers
70 views

Probability of brownian motion trajectory

1 vote
1 answer
48 views

Do quaternion algebra isomorphisms conserve norms?

1 vote
1 answer
48 views

If $R = k[T_0,\cdots,T_n]/I$ is integral, then $\text{dim Proj R}=\text{dim D}_+(T_i)$ for some $i$

1 vote
1 answer
912 views

Describing the Galois group of $\mathbb{Q}(\sqrt{2},\sqrt{3})$ without computing the extension degree (proof check please)

1 vote
1 answer
184 views

Integration by parts to prove a multivariable identity

1 vote
0 answers
26 views

Simple argument to generalize an identity?

1 vote
0 answers
52 views

Finding the bounds for a triple integral

1 vote
2 answers
222 views

Finding a $C^1$ solution to a differential equation.