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A note on Nikulin surfaces and their moduli spaces
Mathematische Zeitschrift ( IF 0.8 ) Pub Date : 2019-08-03 , DOI: 10.1007/s00209-019-02367-w
Marco Ramponi

We study a number of natural linear systems carried by any polarized Nikulin surface of genus g , determine their positivity and establish their Brill–Noether theory. As an application, we compute the classes of some natural effective divisors on the moduli space of Nikulin surfaces, relying upon recent work of Farkas and Rimányi.

中文翻译:

关于 Nikulin 曲面及其模空间的注释

我们研究了由 g 属的任何极化 Nikulin 表面携带的许多自然线性系统,确定它们的正性并建立他们的 Brill-Noether 理论。作为一个应用程序,我们根据 Farkas 和 Rimányi 的最新工作计算 Nikulin 曲面模空间上一些自然有效因数的类。
更新日期:2019-08-03
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