论文标题
等级1仿射不变的亚面膜密度的标准
A criterion for density of the isoperiodic leaves in rank 1 affine invariant suborbifolds
论文作者
论文摘要
我们定义了任何仿射不变的Orbifold m foliation fm，该叶子FM在翻译表面的模量空间的地层上概括了等级的叶子，并研究了等级1中叶子的动力学。我们建立一个标准，可确保叶子的密度并提供该标准的两个应用。第一个是当m是属3中的prym特征原位时，FM叶子的动力学行为的分类，第二个是H层中H（2，1，1）的第一个示例。
We define on any affine invariant orbifold M a foliation FM that generalises the isoperiodic foliation on strata of the moduli space of translation surfaces and study the dynamics of its leaves in the rank 1 case. We establish a criterion that ensures the density of the leaves and provide two applications of this criterion. The first one is a classification of the dynamical behavior of the leaves of FM when M is Prym eigenform locus in genus 3 and the second provides the first examples of dense isoperiodic leaves in the stratum H(2, 1, 1).
