TY - UNPB

T1 - Remarks on Milnor K-theory and Tate's conjecture for divisors

AU - Schreieder, Stefan

N1 - 22 pages

PY - 2024/6/26

Y1 - 2024/6/26

N2 - We show that the Tate conjecture for divisors over a finite field $\mathbb F$ is equivalent to an explicit algebraic problem about the third Milnor K-group of the function field $\bar {\mathbb F}(x,y,z)$ in three variables over $\bar {\mathbb F}$.

AB - We show that the Tate conjecture for divisors over a finite field $\mathbb F$ is equivalent to an explicit algebraic problem about the third Milnor K-group of the function field $\bar {\mathbb F}(x,y,z)$ in three variables over $\bar {\mathbb F}$.

KW - math.AG

KW - math.KT

KW - math.NT

KW - 14C15, 14C25, 14C35

U2 - 10.48550/arXiv.2406.18706

DO - 10.48550/arXiv.2406.18706

M3 - Preprint

BT - Remarks on Milnor K-theory and Tate's conjecture for divisors

ER -