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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 $\mat…