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Bloch-Beilinson Bloch–Beilinson conjecture for varieties over function fields of positive characteristic

Is there a version of the Bloch-BeilinsonBloch–Beilinson conjecture for smooth projective varieties over global fields of positive characteristic? The conjecture I’m referring to is the “recurring fantasy” on page 1 of hereBloch - Algebraic cycles and values of L-functions, thoughtthough I’m particularly interested in the refined form of the conjecture, stated as conjecture 2.1.1 in hereBertolini, Darmon, and Prasanna - $p$-adic $L$-functions and the coniveau filtration on Chow groups. If so, what evidence exists for the conjecture?

Bloch-Beilinson conjecture for varieties over function fields of positive characteristic

Is there a version of the Bloch-Beilinson conjecture for smooth projective varieties over global fields of positive characteristic? The conjecture I’m referring to is the “recurring fantasy” on page 1 here, thought I’m particularly interested in the refined form of the conjecture, stated as conjecture 2.1.1 here. If so, what evidence exists for the conjecture?

Bloch–Beilinson conjecture for varieties over function fields of positive characteristic

Is there a version of the Bloch–Beilinson conjecture for smooth projective varieties over global fields of positive characteristic? The conjecture I’m referring to is the “recurring fantasy” on page 1 of Bloch - Algebraic cycles and values of L-functions, though I’m particularly interested in the refined form of the conjecture, stated as conjecture 2.1.1 in Bertolini, Darmon, and Prasanna - $p$-adic $L$-functions and the coniveau filtration on Chow groups. If so, what evidence exists for the conjecture?

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Bloch-Beilinson conjecture for varieties over function fields of positive characteristic

Is there a version of the Bloch-Beilinson conjecture for smooth projective varieties over global fields of positive characteristic? The conjecture I’m referring to is the “recurring fantasy” on page 1 here, thought I’m particularly interested in the refined form of the conjecture, stated as conjecture 2.1.1 here. If so, what evidence exists for the conjecture?