论文标题
Milnor $ k $ groups和Zariski-Riemann空间的热带类似物
Tropical analogs of Milnor $K$-groups and tropicalizations of Zariski-Riemann spaces
论文作者
论文摘要
作为对同学类别类别的问题的热带方法的步骤（例如霍奇猜想），在本文中，我们介绍了（理性的）Milnor $ k $ groups的热带类似物，并证明存在Zariski Sheafification的Gersten解决方案。我们的结果将用于证明hodge猜想的热带类似物在随后的纸张中在琐碎的磁场上平滑的代数品种。
As a step of a tropical approach to problems on algebraic classes of cohomology groups (such as the Hodge conjecture), in this paper, we introduce tropical analogs of (rational) Milnor $K$-groups, and prove the existence of the Gersten resolution of their Zariski sheafification. Our result will be used to prove a tropical analog of the Hodge conjecture for smooth algebraic varieties over trivially valued fields in a subsequent paper.
