论文标题
热带线性系列和热带独立性
Tropical Linear Series and Tropical Independence
论文作者
论文摘要
我们提出了一个热带线性系列的定义，该定义隔离了代数曲线上不必要的线性系列的热带化的一些必需组合特性。该定义将贝克·诺林等级的概念与热带独立性的概念结合在一起，并具有限制等级r的热带线性序列到连接子图的限制是秩r的热带线性系列。我们表明，热带线性系列1的热带线性系列有限地生成热带模块，并陈述了许多与代数，组合和拓扑特性相关的开放问题，高级热带线性系列
We propose a definition of tropical linear series that isolates some of the essential combinatorial properties of tropicalizations of not-necessarily-complete linear series on algebraic curves. The definition combines the Baker-Norine notion of rank with the notion of tropical independence and has the property that the restriction of a tropical linear series of rank r to a connected subgraph is a tropical linear series of rank r. We show that tropical linear series of rank 1 are finitely generated as tropical modules and state a number of open problems related to algebraic, combinatorial, and topological properties of higher rank tropical linear series
