Chang Lv

activity

20152022

most citedOn the Integral Representation of

a x^{2} + b y^{2}

and the Artin Condition

1 citations · 1 across the 3 of their papers we have counts for

collaborators

5 papers

math.NT2022

Genus one half stacky curves violating the local-global principle

Han Wu, Chang Lv

For any number field, we prove that there exists a stacky curve of genus one half defined over the ring of its integers violating the local-global principle for integral points.

math.NT2021

Constant Tamagawa numbers of special elliptic curves

Luying Li, Chang Lv

For the elliptic curves $E_{σ 2 D} : y^{2} = x^{3} + σ 2 D x$ , which has 2-isogeny curve $E_{σ 2 D}^{'} : y^{2} = x^{3} - σ 8 D x$ , $σ = \pm 1, D = p_{1}^{e_{1}} p_{2}^{e_{2}} \dots p_{n}^{e_{n}}$ , where $p_{i}$ are…

math.AG2020

The second descent obstruction and gerbes

Chang Lv

We extend the notion of rational points and cohomological obstructions on varieties to categories fibred in groupoids. We also establish the generalized theory of descent by torsor…

math.NT2018

On Ring Class Fields of Number Rings

Hairong Yi, Chang Lv

For a number field $K$ , we extend the notion of the ring class field of an order in $K$ [C. Lv and Y. Deng, SciChina. Math., 2015] to that of an arbitrary number ring in $K$ . We gi…

math.NT2015★ 1 cited

On the Integral Representation of $a x^{2} + b y^{2}$ and the Artin Condition

Chang Lv, Junchao Shentu

Given a number field $F$ with $ø_{F}$ its ring of integers. For certain $a, b$ and $α$ in $ø_{F}$ , we show that the Artin condition is the only obstruction to the local-global principle…

Genus one half stacky curves violating the local-global principle

Constant Tamagawa numbers of special elliptic curves

The second descent obstruction and gerbes

On Ring Class Fields of Number Rings

On the Integral Representation of ax2+by2 and the Artin Condition

On the Integral Representation of $a x^{2} + b y^{2}$ and the Artin Condition