Qing Liu

activity

20172026

most citedComputing minimal Weierstrass equations

2 citations · 2 across the 3 of their papers we have counts for

collaborators

5 papers

math.NT2026

Minimal Weierstrass models and regular models of hyperelliptic curves

Qing Liu

Let $C$ be a hyperelliptic curve of genus $g \geq 2$ over a discrete valuation field $K$ with perfect residue field. We study the minimal Weierstrass models of $C$ . When there is mor…

math.NT2022★ 2 cited

Computing minimal Weierstrass equations

Qing Liu

We describe an algorithm for determining a minimal Weierstrass equation for hyperelliptic curves over principal ideal domains. When the curve has a rational Weierstrass point $w_{0}$ …

math.NT2021

Global Weierstrass equations of hyperelliptic curves

Qing Liu

Given a hyperelliptic curve $C$ of genus $g$ over a number field $K$ and a Weierstrass model $C$ of $C$ over the ring of integers $O_{K}$ (i.e. the hyperelliptic…

math.NT2018

Reduction type of smooth quartics

Reynald Lercier, Qing Liu, Elisa Lorenzo García +1

Let $C / K$ be a smooth plane quartic over a discrete valuation field. We characterize the type of reduction (i.e. smooth plane quartic, hyperelliptic genus 3 curve or bad) over $K$ …

math.NT2017

New Points on Curves

Qing Liu, Dino Lorenzini

Let K be a field and let L/K be a finite extension. Let X/K be a scheme of finite type. A point of X(L) is said to be new if it does not belong to the union of X(F), when F runs ov…