Mathematics
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XT Chen
  • Member for 3 years, 6 months
  • Last seen this week
  • Peking University, Haidian, Beijing, China
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65
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About

Currently an undergraduate in PKU. Interested in algebraic geometry.

I am devoted to introducing methods from algebraic topology into algebraic geometry. Topics like derived geometry, motivic homotopy and algebraic K-theory are what I am interested in.

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All Questions Answers
Score Newest
answer
16
Calculating the exponential of an upper triangular matrix
Oct 29, 2019
question
8
$f$ is monotonically increasing, $0 \le f \le 1$ and $\int_0^1 (f(x) - x) dx = 0$ then $\int_0^1|f(x)-x|dx \le \frac{1}{2}$.
Apr 15, 2019
question
7
How to prove the existence and uniqueness of the solution of a second order linear ODE?
Dec 24, 2018
question
7
An example that Čech cohomology is not equal to derived cohomology with on an affine scheme with Zariski topology.
Oct 16, 2021
question
6
If $f^2(t) \le 1+2\int_0^tf(s)\mathrm{d}s$ prove $f(t)\le 1+t$
Mar 17, 2019
question
6
Hartshorne's Exercise II.4.5(c). A third time.
Nov 4, 2020
answer
5
How to prove $\int_0^1\sin(x+\frac{1}{x}) \, dx$ is convergent?
Jun 10, 2019
question
4
When is $x^a\sin (x^{-b}) $ $\alpha$-Hölder Continuous on $[0,1]$?
Dec 22, 2019
question
4
Poincaré duality maps the Thom class of the normal bundle to $(-1)^{nk}i_*(\mu_M)$
Jun 7, 2020
question
4
$a_n > 0$ and $\sum_\limits{n=1}^{+\infty} \frac{1}{a_n}$ converges. Prove $\sum_\limits{n=1}^{+\infty} \frac{n}{a_1 + \cdots + a_n}$ is convergent. [duplicate]
Mar 29, 2019
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13
Seek for a algebro-geometric proof: the group homomorphism $\mathrm{SL}(2,\mathbb{Z}) \rightarrow \mathrm{SL}(2,\mathbb{Z}/N\mathbb{Z})$ is surjective
10
Is there a strictly increasing differentiable function maps positively measurable set to zero measure set?
5
Concrete computation of pullback of the $D$-module $\mathbb{C}[t,t^{-1}]$

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