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

38 papers

math.RA2026

Cohomological invariants of hermitian forms that detect hyperbolicity

Yong Hu, Alexandre Lourdeaux

By using unramified cohomology groups, we construct a full sequence of cohomological invariants for hermitian forms of any (orthogonal, symplectic or unitary) type that can be used…

math.NT2023★ 1 cited

On some $p$ -adic and mod $p$ representations of quaternion algebra over $Q_{p}$

Yongquan Hu, Haoran Wang

Let $D$ be the non-split quaternion algebra over $Q_{p}$ . We prove that a class of admissible unitary Banach space representations of $D^{\times}$ of global origin are topol…

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…

Cohomological invariants of hermitian forms that detect hyperbolicity

On some p-adic and mod p representations of quaternion algebra over Qp​

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 some $p$ -adic and mod $p$ representations of quaternion algebra over $Q_{p}$

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