论文标题
具有处方奇异性的阿贝里亚差异时期
Periods of abelian differentials with prescribed singularities
论文作者
论文摘要
我们给出了至少2至$ \ $ \ mathbb c $的封闭表面的基本群体的必要条件，使其成为具有圆锥形奇异性列表的翻译表面的完整性。同等地，我们确定了用规定的零多数列表的Abelian差异的周期图。我们的主要结果也由班布里奇，约翰逊，法官和帕克独立获得。
We give a necessary and sufficient condition for a representation of the fundamental group of a closed surface of genus at least 2 to $\mathbb C$ to be the holonomy of a translation surface with a prescribed list of conical singularities. Equivalently, we determine the period maps of abelian differentials with prescribed list of multiplicites of zeros. Our main result was also obtained, independently, by Bainbridge, Johnson, Judge and Park.
