Hyuk Jun Kweon

activity

20192026

collaborators

7 papers

math.AG2026

A Uniform Construction of Cohomology Theories of Varieties via Fundamental Groupoids

Hyuk Jun Kweon

We prove that the cohomology of a variety is fully recovered from the fundamental groupoids of its Zariski open subsets in various settings. This follows from a new sheaf theory th…

math.AG2026

Computing Picard Schemes

Hyuk Jun Kweon, Madhavan Venkatesh

We present an algorithm to compute the torsion component $Pic^{τ} X$ of the Picard scheme of a smooth projective variety $X$ over a field $k$ . Specifically, we describe $\mat…

math.AG2025

Bornes de torsion et un théorème effectif du pgcd

Hyuk Jun Kweon, Madhavan Venkatesh

We prove an effective, probabilistic version of Deligne's `théorème du pgcd' for a smooth, projective, geometrically integral (\textit{nice}) variety $X_{0} \subset P^{N}$ …

cs.CG2023

Maximum Overlap Area of Several Convex Polygons Under Translations

Hyuk Jun Kweon, Honglin Zhu

Let $k \geq 2$ be a constant. Given any $k$ convex polygons in the plane with a total of $n$ vertices, we present an $O (n lo g^{2 k - 3} n)$ time algorithm that finds a translation of e…

cs.CG2023

Maximum overlap area of a convex polyhedron and a convex polygon under translation

Hyuk Jun Kweon, Honglin Zhu

Let $P$ be a convex polyhedron and $Q$ be a convex polygon with $n$ vertices in total in three-dimensional space. We present a deterministic algorithm that finds a translation vect…

math.AG2020

Bounds on the Torsion Subgroups of Néron-Severi Group Schemes

Hyuk Jun Kweon

Let $X ↪ P^{r}$ be a smooth projective variety defined by homogeneous polynomials of degree $\leq d$ over an algebraically closed field. Let $Pic X$ …

math.AG2019

Bounds on the Torsion Subgroups of Néron-Severi Groups

Hyuk Jun Kweon

Let $X ↪ P^{r}$ be a smooth projective variety defined by homogeneous polynomials of degree $\leq d$ . We give explicit upper bounds on the order of the torsion…