Haowen Zhang

activity

20212026

collaborators

4 papers

math.NT2026

Quartic del Pezzo surfaces over $F_{p} (t)$ without quadratic points

Giorgio Navone, Katerina Santicola, Harry C. Shaw +1

We construct an infinite family of quartic del Pezzo surfaces over $F_{p} (t)$ with no quadratic points, for all primes $p \neq = 2$ . This answers a question of Colliot--Thélène…

math.AG2025

Description of the strong approximation locus using Brauer-Manin obstruction for homogeneous spaces with commutative stabilizers

Victor de Vries, Haowen Zhang

For a homogeneous space $X$ over a number field $k$ , the Brauer-Manin obstruction has been used to study strong approximation for $X$ away from a finite set $S$ of places, and know…

math.NT2023

Reciprocity obstruction to strong approximation over p-adic function fields

Haowen Zhang

Over function fields of p-adic curves, we construct stably rational varieties in the form of homogeneous spaces of SL_n with semisimple simply connected stabilizers and we show tha…

math.NT2021

Weak approximation for homogeneous spaces over some two-dimensional geometric global fields

Haowen Zhang

In this article, we study obstructions to weak approximation for connected linear groups and homogeneous spaces with connected or abelian stabilizers over finite extensions of $\ma…

Quartic del Pezzo surfaces over Fp​(t) without quadratic points

Description of the strong approximation locus using Brauer-Manin obstruction for homogeneous spaces with commutative stabilizers

Reciprocity obstruction to strong approximation over p-adic function fields

Weak approximation for homogeneous spaces over some two-dimensional geometric global fields

Quartic del Pezzo surfaces over $F_{p} (t)$ without quadratic points