论文标题
Haupt的Abelian差异层定理
Haupt's theorem for strata of abelian differentials
论文作者
论文摘要
令S为封闭的拓扑表面。 Haupt的定理为第一个s的第一个整数同源性组的复杂值提供了必要和足够的条件，该集合可以通过集成与复杂价值的1型形式进行集成来实现，该复杂价值相对于S的某些复杂结构。
Let S be a closed topological surface. Haupt's theorem provides necessary and sufficient conditions for a complex-valued character of the first integer homology group of S to be realized by integration against a complex-valued 1-form that is holomorphic with respect to some complex structure on S. We prove a refinement of this theorem that takes into account the divisor data of the 1-form.
