Four-dimensional projective orbifold hypersurfaces
Algebraic Geometry
2022-10-28 v1
Abstract
We classify four-dimensional quasismooth weighted hypersurfaces with small canonical class, and verify a conjecture of Johnson and Kollar on infinite series of quasismooth hypersurfaces with anticanonical hyperplane section in the case of fourfolds. By considering the quotient singularities that arise, we classify those weighted hypersurfaces that are canonical, Calabi-Yau, and Fano fourfolds. We also consider other classes of hypersurfaces, including Fano hypersurfaces of index greater than 1 in dimensions 3 and 4.
Cite
@article{arxiv.1503.02288,
title = {Four-dimensional projective orbifold hypersurfaces},
author = {Gavin Brown and Alexander Kasprzyk},
journal= {arXiv preprint arXiv:1503.02288},
year = {2022}
}
Comments
25 pages