Yong Hu

activity

20072026

u

-invariant of Laurent series fields in several variables

13 citations · 84 across the 37 of their papers we have counts for

collaborators

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7 papers · 1 filter

math.NT2022

Multivariable ( $φ$ , $O_{K}^{\times}$ )-modules and local-global compatibility

Christophe Breuil, Florian Herzig, Yongquan Hu +2

Let $p$ be a prime number, $K$ a finite unramified extension of $Q_{p}$ and $F$ a finite extension of $F_{p}$ . Using perfectoid spaces we associate to any fi…

math.AG2022★ 1 cited

Algebraic threefolds of general type with small volume

Yong Hu, Tong Zhang

It is known that the optimal Noether inequality $vol (X) \geq \frac{4}{3} p_{g} (X) - \frac{10}{3}$ holds for every $3$ -fold $X$ of general type with $p_{g} (X) \geq 11$ . In this pa…

math.NT2022

Pythagoras number of quartic orders containing $2$

Zilong He, Yong Hu

Let $K$ be a quartic number field containing $2$ and let $O \subseteq K$ be an order such that $2 \in O$ . We prove that the Pythagoras number of $\m…

math.NT2022★ 3 cited

On $k$ -universal quadratic lattices over unramified dyadic local fields

Zilong He, Yong Hu

Let $k$ be a positive integer and let $F$ be a finite unramified extension of $Q_{2}$ with ring of integers $O_{F}$ . An integral (resp. classic) quadratic form over…

math.NT2022★ 2 cited

On $n$ -universal quadratic forms over dyadic local fields

Zilong He, Yong Hu

Let $n \geq 2$ be an integer. We give necessary and sufficient conditions for an integral quadratic form over dyadic local fields to be $n$ -universal by using invariants from Bel…

math.NT2022★ 6 cited

On indefinite $k$ -universal integral quadratic forms over number fields

Zilong He, Yong Hu, Fei Xu

An integral quadratic lattice is called indefinite $k$ -universal if it represents all integral quadratic lattices of rank $k$ for a given positive integer $k$ . For $k \geq 3$ , we pr…

Multivariable (φ,OK×​)-modules and local-global compatibility

Algebraic threefolds of general type with small volume

Pythagoras number of quartic orders containing 2​

On k-universal quadratic lattices over unramified dyadic local fields

On n-universal quadratic forms over dyadic local fields

On indefinite k-universal integral quadratic forms over number fields

Multivariable ( $φ$ , $O_{K}^{\times}$ )-modules and local-global compatibility

Pythagoras number of quartic orders containing $2$

On $k$ -universal quadratic lattices over unramified dyadic local fields

On $n$ -universal quadratic forms over dyadic local fields

On indefinite $k$ -universal integral quadratic forms over number fields