Hyperelliptic and trigonal Fano threefolds
代数几何
2007-05-23 v5
摘要
We classify Fano 3-folds with canonical Gorenstein singularities whose anticanonical linear system has no base points but does not give an embedding, and we classify anticanonically embedded Fano 3-folds with canonical Gorenstein singularities which are not intersections of quadrics. We also study the rationality questions for most of these varieties.
引用
@article{arxiv.math/0406143,
title = {Hyperelliptic and trigonal Fano threefolds},
author = {Ivan Cheltsov and Constantin Shramov and Victor Przyjalkowski},
journal= {arXiv preprint arXiv:math/0406143},
year = {2007}
}
备注
57 pages. Final version; more detailed version is the previous one