A note on Nikulin surfaces and their moduli spaces
Algebraic Geometry
2019-07-30 v2
Abstract
We study some natural linear systems carried by polarized Nikulin surfaces of genus g. We determine their positivity and establish their Brill-Noether theory. As an application, we compute the class of some natural effective divisors associated to these linear systems on the moduli space of Nikulin surfaces, relying upon recent work of Farkas and Rim\'{a}nyi.
Cite
@article{arxiv.1807.04217,
title = {A note on Nikulin surfaces and their moduli spaces},
author = {Marco Ramponi},
journal= {arXiv preprint arXiv:1807.04217},
year = {2019}
}
Comments
14 p., minor modifications and small improvements. To appear in Math. Z