Hypersurfaces in Mori dream spaces
Algebraic Geometry
2011-09-06 v1
Abstract
Let X be a hypersurface of a Mori dream space Z. We provide necessary and sufficient conditions for the Cox ring R(X) of X to be isomorphic to R(Z)/(f), where R(Z) is the Cox ring of Z and f is a defining section for X. We apply our results to Calabi-Yau hypersurfaces of toric Fano fourfolds. Our second application is to general degree d hypersurfaces in P^n containing a linear subspace of dimension n-2.
Keywords
Cite
@article{arxiv.1109.0566,
title = {Hypersurfaces in Mori dream spaces},
author = {Michela Artebani and Antonio Laface},
journal= {arXiv preprint arXiv:1109.0566},
year = {2011}
}
Comments
12 pages