A note on Nikulin surfaces and their moduli spaces

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作者
Marco Ramponi
机构
[1] Universität Augsburg,Lehrstuhl für Algebra und Zahlentheorie, Institut für Mathematik
来源
Mathematische Zeitschrift | 2020年 / 295卷
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摘要
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.
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页码:761 / 774
页数:13
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