Hao Wang

collaborators

4 papers

math.AG2026

Exact sequences of fundamental group schemes for $G$ -torsors

Lingguang Li, Hao Wang

Let $k$ be a field, $G$ an affine $k$ -group scheme, $X$ a connected scheme proper over $k$ , $f : (Y, y) \to (X, x)$ a pointed $G$ -torsor, $C_{X}$ and $C_{Y}$ the Tannaki…

math.AG2026

The Birational Invariance Of Fundamental Group Schemes

Lingguang Li, Hao Wang

Let $k$ be a field, $f : X \to Y$ a birational morphism of integral connected schemes proper over $k$ with $Y$ normal, $x \in X (k)$ lying over $y \in Y (k)$ . For Tannakian cate…

math.AG2003

Equations of Parametric Surfaces with Base Points via Syzygies

William Adkins, J. William Hoffman, Hao Hao Wang

Let $S$ be a parametric surface in $\proj{3}$ given as the image of $ϕ: \proj{1} \times \proj{1} \to \proj{3}$. This paper will show that the use of syzygies in the form of a combi…

math.AG2003

Curvilinear Base Points, Local Complete Intersection and Kozsul Syzygies in Biprojective Spaces

J. William Hoffman, Hao Hao Wang

We prove analogs of results of Cox/Schenck on the structure of certain ideals in the bigraded polynomial ring k[s,u;t,v].

Exact sequences of fundamental group schemes for G-torsors

The Birational Invariance Of Fundamental Group Schemes

Equations of Parametric Surfaces with Base Points via Syzygies

Curvilinear Base Points, Local Complete Intersection and Kozsul Syzygies in Biprojective Spaces

Exact sequences of fundamental group schemes for $G$ -torsors