Hyuk Jun Kweon

activity

20192026

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4 papers · 1 filter

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 $X_{0} \subset P^{N}$ …

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…