3 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 of the Picard scheme of a smooth projective variety over a field . Specifically, we describe $\ma…
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 \mathbb{P}^{N}…