2 problems

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Beilinson–Hodge conjecture for admissible normal functions
Beilinson–Hodge conjecture. The fundamental class map $\mathrm{cl}^{p,m}_{\pi}$ is surjective. This predicts that every Hodge class in $\mathrm{Hg}(H^1(\mathcal{U},\mathbf{H}(p)))$ …
Conjectureopenbeilinson-hodge-conjecture higher-chow-groups normal-functionsarXiv posted 2 days ago
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The relative Beilinson–Hodge conjecture
Let $k=\overline{k}\subseteq\mathbb C$ be an algebraically closed subfield, and let … be a smooth proper map of smooth quasi-projective varieties over $k$ . Write…
Conjectureopenalgebraic-cycles beilinson-hodge-conjecture regulatorsarXiv posted 2 days ago

Beilinson–Hodge conjecture for admissible normal functions