AI 中文总结
本文对Röhrle等人提出的连续热带Prym簇给出新内蕴构造，明确将其构造为整数环面，并证明热带Prym-Torelli映射是连续的。
AI 中文摘要
我们对由Röhrle和Zakahrov提出的连续热带Prym簇给出了一种新的内蕴构造。具体而言，给定图的调和二重覆盖，我们将热带Prym明确构造为整数环面。此外，我们证明了从调和二重覆盖的模空间到主极化热带阿贝尔簇模空间的热带Prym-Torelli映射是连续的。
英文摘要
We give a new intrinsic construction of the continuous tropical Prym variety, originally due to Röhrle and Zakahrov. In particular, given a harmonic double cover of graphs we explicitly construct the tropical Prym as integral torus. Moreover, we show that the tropical Prym--Torelli map from the moduli space of harmonic double covers to the moduli space of principally polarised tropical abelian varieties is continuous.
Comments27 pages, 7 figures. Comments are welcome!
