• DOI:10.1007/978-3-319-46209-7_5
Corpus ID: 119617775

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

View PDF on arXiv

Save to Library

Create Alert

Cite

Launch Research Feed

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.