Fano hypersurfaces in weighted projective 4-spaces
代数几何
2007-05-23 v1
摘要
We determine the complete list of anticanonically embedded quasi smooth log Fano 3-folds in weighted projective 4-spaces. This implies that the Reid-Fletcher list of 95 types of anticanonically embedded quasi smooth terminal Fano threefolds in weighted projective 4-spaces is complete. We also prove that there are only finitely many families of quasi smooth Calabi-Yau hypersurfaces in weighted projective spaces of any given dimension.
关键词
引用
@article{arxiv.math/0008189,
title = {Fano hypersurfaces in weighted projective 4-spaces},
author = {Jennifer M. Johnson and János Kollár},
journal= {arXiv preprint arXiv:math/0008189},
year = {2007}
}
备注
11 pages, LaTeX