Abstract
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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Acknowledgements
This work started thanks to the financial support of the Einstein Foundation and I wish to thank G. Farkas and R. Pandharipande for giving me the opportunity to spend some pleasant time in Berlin. I am warmly thankful to G. Farkas for useful conversations around these topics.
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Ramponi, M. A note on Nikulin surfaces and their moduli spaces. Math. Z. 295, 761–774 (2020). https://doi.org/10.1007/s00209-019-02367-w
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DOI: https://doi.org/10.1007/s00209-019-02367-w