论文标题
带有固定牛顿多边形的热带曲线的模量空间
The moduli space of tropical curves with fixed Newton polygon
论文作者
论文摘要
给定晶格多边形，我们使用牛顿多边形研究所有热带平面曲线的模量空间。我们根据该多边形的组合特性来确定该空间维度的公式。我们证明，如果该多边形是非流囊或最大和过度纤维化的，那么该公式与给定的牛顿多边形的非排定代数曲线的模量空间的尺寸匹配。
Given a lattice polygon, we study the moduli space of all tropical plane curves with that Newton polygon. We determine a formula for the dimension of this space in terms of combinatorial properties of that polygon. We prove that if this polygon is nonhyperelliptic or maximal and hyperelliptic, then this formula matches the dimension of the moduli space of nondegenerate algebraic curves with that given Newton polygon.
