论文标题
热带方案上的向量束
Vector bundles on tropical schemes
论文作者
论文摘要
我们为热带方案定义矢量束，并探索它们的特性。该论文主要由三个部分组成； （1）我们研究了零和无零半连接的免费模块，该模块为理论提供了必要的代数背景（2），我们将热带方案上的矢量捆绑包与拓扑矢量捆绑包和单体方案上的向量捆绑包，最后（3）我们表明，我们在热带方案上都可以在线上搭配一系列的bundles bundles Bundles cy confine confine Bundles Bundles Bundles bundles bunde bund of n Hus osual of n Hus of n HUSOUC of n HUSOUC bund of n HUSOUC。
We define vector bundles for tropical schemes, and explore their properties. The paper largely consists of three parts; (1) we study free modules over zero-sum free semirings, which provide the necessary algebraic background for the theory (2) we relate vector bundles on tropical schemes to topological vector bundles and vector bundles on monoid schemes, and finally (3) we show that all line bundles on a tropical scheme can be lifted to line bundles on a usual scheme in the affine case.
