AI 中文总结
研究环面拟流形的非合理性程度，通过为基础拟格和拟环面定义类似概念引入该不变量，还将其应用于在非合理性背景下重构戈登引理。
AI 中文摘要
环面拟流形是非合理性的环面流形和orbifolds的推广。我们引入非合理性程度的概念，这是一个衡量环面拟流形偏离豪斯多夫性质程度的不变量。我们首先通过为基础拟格和相应的拟环面定义类似概念来实现。最后将非合理性程度应用于在非合理性背景下重新构建戈登引理。
英文摘要
Toric quasifolds are nonrational generalizations of toric manifolds and orbifolds. We introduce the notion of nonrationality degree, an invariant that measures the extent to which a toric quasifold fails to be Hausdorff. We do so by first defining analogous notions for the underlying quasilattice and the corresponding quasitorus. We conclude by applying the nonrationality degree to reframe Gordan's lemma in the nonrational setting.
Comments14 pages, minor revisions and updated references
Journal refMathematics 2026, 14(17), 3028
