3 problems

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Log Bloch conjecture for smooth algebraic surfaces
Let $U$ be a smooth algebraic surface, let $p_g(U)$ denote its geometric genus, and let $T(U)$ be the Albanese kernel, namely the kernel of the Albanese morphism…
Conjectureopenalbanese-kernel algebraic-surfaces zero-cyclesarXiv posted 2 days ago
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The divisible-plus-finite conjecture for the Albanese kernel of a smooth projective variety
Divisible-plus-finite conjecture. The group $F^2(X)$ is the direct sum of a divisible group and a finite group.
Conjectureopenalbanese-kernel p-adic-fields zero-cyclesarXiv posted 2 days ago
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Local divisibility conjecture for Albanese kernels over number fields
Let $X$ be a smooth projective geometrically connected variety over a number field $K$ with a $K$ -rational point. For a finite place $v$ of $K$ , let … be the base change to the com…
Conjectureopenalbanese-kernel arithmetic-geometry zero-cyclesarXiv posted 2 days ago

Log Bloch conjecture for smooth algebraic surfaces