# Unirationality of moduli spaces of special cubic fourfolds and K3 surfaces

@article{Nuer2015UnirationalityOM,
title={Unirationality of moduli spaces of special cubic fourfolds and K3 surfaces},
author={H. Nuer},
journal={arXiv: Algebraic Geometry},
year={2015}
}
• H. Nuer
• Published 2015
• Mathematics
• arXiv: Algebraic Geometry
• We provide explicit descriptions of the generic members of Hassett's divisors $\mathcal C_d$ for relevant $18\leq d\leq 38$ and for $d=44$. In doing so, we prove that $\mathcal C_d$ is unirational for $18\leq d\leq 38,d=44$. As a corollary, we prove that the moduli space $\mathcal N_{d}$ of polarized K3 surfaces of degree $d$ is unirational for $d=14,26,38$. The case $d=26$ is entirely new, while the other two cases have been previously proven by Mukai.
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